Quick Test On Time-speed-distance

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| By Divyanaidu94
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Divyanaidu94
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Quizzes Created: 10 | Total Attempts: 30,218
| Attempts: 682
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  • 1/25 Questions

    A train travelling at a speed of 60 km/hr crosses a platform in 20 seconds. What is the length of the train?

    • 20 m
    • 35 m
    • 100 m
    • Data Inadequate
    • None
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About This Quiz

Time - Speed - Distance is one of the major topics in Quantitative Aptitude Section. We can expect two or three questions from this specific topic. Practice this test and also share with your friends.

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  • 2. 

    A train can travel 50% faster than a car. Both start from point A at the same time and reach point B, which is 330 km away fro A, at the same time. On the way, however, the train lost about 88 minutes while stopping at the station. The speed of the train is

    • 110.5 kmph

    • 112.5 kmph

    • 115.6 kmph

    • 113.5 kmph

    • None

    Correct Answer
    A. 112.5 kmph
    Explanation
    Let the speed of the car be z kmph
    Then the speed of the train = x X 150/100 = 3x/2
    Now, 330/x – 330/ 3x/2 = 88/60
    330/x – 220/x = 88/60
    330 – 220/x = 88/60
    110/x = 88/60
    ∴ x = 60 X 110/88 = 75
    ∴ The speed of the car = 75 kmph
    ∴ Speed of the train = 3x/2 = 75 X 3/2 = 112.5 kmph.

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  • 3. 

    Car M takes 5 hours to travel from Point A to B. It would have taken 6 hours, if the same car had travelled the same distance at a speed which was 15 kmph less than its original speed. What is the distance between Points A and B?

    • 500 km

    • 450 km

    • 600 km

    • 650 km

    • None

    Correct Answer
    A. 450 km
    Explanation
    Let the distance be D km
    Then, D/5 = D/6 + 15
    D/5 – D/6 = 15
    6D – 5D/30 = 15
    ∴ D = 15 X 30 = 450 km.

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  • 4. 

    A car covers the first 40 km in 35 minutes and the remaining 105 km in 85 minutes. What is the average speed of the car?

    • 70 kmph

    • 72.5 kmph

    • 75 kmph

    • 74 kmph

    • None

    Correct Answer
    A. 72.5 kmph
    Explanation
    Avg Speed = Total distance travelled/Time taken to travel the distance
    40 + 105/ (35 + 85)/60 = 145/120 X 60 = 72.5 kmph

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  • 5. 

    A and B are 25 km apart. If they travel towards each other, they meet after one hour. A travels faster than B. Find the speed of A, if he overtakes B after 5 hours, moving in the direction of B.

    • 20 km/hr

    • 18 km/hr

    • 15 km/hr

    • 25 km/hr

    • None

    Correct Answer
    A. 15 km/hr
    Explanation
    Let the speed of A and B be u km/hr and v km/hr respectively
    When they travel in opposite directions u + v = 25 ------ > (i)
    When they travel in same direction 5u – 5v = 25
    u – v = 5 ----------- > (ii)
    Solving equation (i) and (ii), we get
    u = 15 km/hr.

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  • 6. 

    The distance between two places A and B is 320 km. A car departs from place A for place B at a speed of 55 kmph at 7 am. Another car departs from place B for place A at a speed of 45 kmph at 11 am. At what time will both cars meet each other?

    • 12:00 AM

    • 12:00 PM

    • 11:00 AM

    • 12.30 pm

    • None

    Correct Answer
    A. 12:00 PM
    Explanation
    Distance travelled by the first car in 4 hours = Speed X Time = 55 X 4 = 220 km
    Remaining distance = 320 – 220 = 100 km
    Time for both cars to meet = Distance/Relative speed
    = 100/55 + 45 = 100/100 = 1 hour
    ∴ Both the cars will meet after 1 hour means at (11 am + 1) = 12 pm.

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  • 7. 

    Gaurav drove at the speed of 65 kmph from his home to a resort. While returning he got stuck in traffic and took 3 more hours; he could drives only at the speed of 50 kmph. How many kilometres did he drive each way?

    • 1200

    • 1300

    • 650

    • 780

    • None

    Correct Answer
    A. 650
    Explanation
    Let the distance be x km
    Then, x/50 – x/65 = 3
    13x – 10x/650 = 3
    ∴ x = 3 X 650/3 = 650 km

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  • 8. 

    A person travelled a distance of 30 km in 8 hours. He travelled partly on foot at the rate of 3 kmph and partly on bicycle at the rate of 5 kmph. The distance travelled on foot is

    • 14 km

    • 15 km

    • 16 km

    • 17 km

    • 20 km

    Correct Answer
    A. 15 km
    Explanation
    Let the distance travelled on foot be x km
    Then, x/3 + (30 – x)/5 = 8
    5x + 3 (30 – x) = 120
    ∴ x = 15 km.

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  • 9. 

    A train running at 75 kmph crosses a platform in 1 minute. What is the length of the platform (in metres)?

    • 1250

    • 1660

    • 1800

    • Data Inadequate

    • None

    Correct Answer
    A. Data Inadequate
    Explanation
    Length of the train is not given
    We know that
    Time = Length of train + Length of platform/Speed
    1 = Length of train + Length of platform/ 75 X 5/18
    Hence we can’t determine the length of the platform.

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  • 10. 

    A 600-metre-long train crosses a platform is 78 seconds while it crosses a pole in 36 seconds. What is the length of the platform?

    • 640 m

    • 700 m

    • 1300 m

    • 1400 m

    • None

    Correct Answer
    A. 700 m
    Explanation
    Speed of train = 600/36 = 50/3 m/sec
    Let the length of the platform be x metres
    Then, x + 600/78 = 50/3
    3x + 1800 = 3900
    3x = 2100
    ∴ x = 700 m.

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  • 11. 

    Ram started his journey at 8 am at 8 km/hr. Hamid started from the same spot in the same direction at 8:30 am at 10 km/hr. Hamid overtakes Ram at

    • 11:00 AM

    • 12.30 pm

    • 12 noon

    • 10.30 am

    • None

    Correct Answer
    A. 10.30 am
    Explanation
    Relative speed = 10 – 8 = 2 kmph
    Ram covers the distance between 8 am to 8:30 am = 8/2 = 4 km
    ∴ Reqd time = 4/2 = 2 hours
    Hence Hamid overtakes Ram at (8:30 am + 2 hrs) = 10:30 am.

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  • 12. 

    A 218 metre long train travelling at 63 kmph can cross a platform in 32 seconds. If a man can cross the same platform in 3 minutes, what is the speed of the man (in m/sec)?

    • 9

    • 1.9

    • 2.3

    • 8

    • None

    Correct Answer
    A. 1.9
    Explanation
    Speed of train = Length of platform + Length of train/Time
    Length of platform = 63 X 32 X 5/18 – 218
    = 560 – 218 = 342 m
    ∴ Speed of man = 342/ 3 X 60 = 342/180 = 1.9 m/s

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  • 13. 

    A train running at a speed of 194.4 kmph passes a man walking in opposite direction at the speed of 6 m/sec in 15 seconds. What is the length of the train?

    • 600 m

    • 800 m

    • 900 m

    • 1000 m

    • None

    Correct Answer
    A. 900 m
    Explanation
    Relative speed = 194.4 X 5/18 +6
    = 60 m/sec
    ∴ Time = 15 seconds
    ∴ Length of the train = 60 X 15 = 900 metres.

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  • 14. 

    A train running at the speed of 35 metres per second crosses a bridge in 20 seconds. Another train which is 140 metres shorter than the previous train crosses the same bridge at the speed of 40 metres per second. Find the time taken by the second train to cross the bridge.

    • 14 seconds

    • 25 seconds

    • 20 seconds

    • 10 seconds

    • None

    Correct Answer
    A. 14 seconds
    Explanation
    Let the length of the bridge be x m and that of first train be y m.
    ∴ x + y/35 = 20
    ∴ x + y = 700
    Again, x + (y – 140)/40 = t
    x + y – 140/40 = t
    700 – 140/40 = t
    ∴ t = 560/40 = 14 seconds.

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  • 15. 

    A train travelling at 57 km/hr passes another train half of its length travelling in the opposite direction at 33 km/hr in 18 seconds. If it passes a railway platform in 1.2 minutes, what is the length of the platform?

    • 640 metres

    • 840 metres

    • 740 metres

    • 720 metres

    • None

    Correct Answer
    A. 840 metres
    Explanation
    Distance travelled with relative speed 57 + 33 = 90 km/hr in 18 seconds
    90 (5/18) X 18 = 450 m
    Ratio of lengths = First : Second
    2 : 1
    ∴ Length of first train = 300 m
    Now, distance travelled by 1st train at 57 km/hr in 72 seconds
    = 57 (5/18) X 72 = 1140 m
    ∴ Length of platform = 1140 – 300 = 840 m.

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  • 16. 

    The average speed of a car, a bus and a train together is 68 kmph. The ratio of their speeds is 3 : 5 : 9. What is the average speed of the train and the bus together?

    • 84 kmph

    • 74 kmph

    • 72 kmph

    • 80 kmph

    • None

    Correct Answer
    A. 84 kmph
    Explanation
    The ratio of the speed of the car, the bus and the train = 3x : 5x : 9x
    ∴ 3x + 5x + 9x = 68 X 3
    17x = 68 X 3
    x = 68 X 3/17 = 12 km
    ∴ Average speed of the train and bus = 5x + 9x/2
    = 60 + 108/2
    = 168/2 = 84 kmph.

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  • 17. 

    Mohit travels 972 km in 10.5 hours in two stages. In the first part of the journey, he travels by bus at the speed of 78 km/hr. In the second part of the journey, he travels by train at the speed of 112 km/hr. How much distance does the travel by train?

    • 504 km

    • 512km

    • 516 km

    • 498 km

    • None

    Correct Answer
    A. 504 km
    Explanation
    We use only allegation on speed (km/hr) to get ration of time spent in bus and train.
    Overall speed = 972/10.5 = 1944/21 = 648/7
    Using allegation method
    Bus Train
    78 112
    92 4/7
    19 3/7 : 14 4/7
    136/7 : 102/7
    136 : 102
    4 : 3
    Time spent in train = 10.5 (3/7) = 4.5 hours = 504 km.

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  • 18. 

    Sitting in a train, Kapil notices that he can count 21 telephone posts in one minute. If they are known to be 80 metres part, then at what speed is the train travelling?

    • 96 km/hr

    • 90 km/hr

    • 98 km/hr

    • 92 km/hr

    • None

    Correct Answer
    A. 96 km/hr
    Explanation
    No. of telephone posts = 21
    No. of gaps between 21 posts are 20 and two posts are 80 metres apart.
    It means 20 X 80 metres covered in 1 minute.
    ∴ Distance = 20 X 80 = 20 X 80/1000 km
    = 1.6 km
    ∴ Speed of train = 1.6 X 60/1 = 96 km/hr.

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  • 19. 

    Two trains A and B, start from stations X and Y towards each other. They take 4 hours 48 minutes and 3 hours 20 minutes to reach Y and X respectively after they meet. If train A is moving at 45 km/hr, then the speed of train B is

    • 60 kmph

    • 45 kmph

    • 50 kmph

    • 54 kmph

    • None

    Correct Answer
    A. 54 kmph
    Explanation
    Let the speed of train A be SA = 45 kmph and that of train B be SB
    Then, time taken by train A = TA
    = 4 hours 48 minutes = 4 + 48/60 = 24/5
    Time taken by train B = TB
    = 3 hours 20 minutes = 3 1/3 hours = 10/3 hours
    Using formula SA/SB = √TB/TA
    ∴ 45/SB = √ 10/3 X √5/24 = √25/36 = 5/6
    SB = 45 X 6/5 = 54 kmph.

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  • 20. 

    A man in a train notices that he can count 24 telephone posts in 3 minutes. If they are each 60m apart, then what is the speed of the train?

    • 27.6 kmph

    • 25 kmph

    • 28.3 kmph

    • 24.6 kmph

    • None

    Correct Answer
    A. 27.6 kmph
    Explanation
    24 telephone posts each 60m apart implies the distance between frist post to the last post is (24 – 1) X 60
    = 23 X 60 = 1380m
    ∴ Distance = 1380 m
    ∴ Speed of the train = 1380/3 X 60 = 138/18 m/s
    = (138/18 X 18/5) = 27.6 kmph.

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  • 21. 

    A train running at an average speed of 54 kmph crosses a pole in 14 seconds. How much time will a man take to cross the same train if it is stationary, when he is cycling at a speed of 7 kmph? (in seconds)

    • 102

    • 112

    • 126

    • 108

    • None

    Correct Answer
    A. 108
    Explanation
    Length of train = 54 X 14 X 5/18 = 210 metres
    ∴ Time taken by the man to cross the stationary train = 210 X 18/ 7 X 5 = 6 X 18
    = 108 seconds.

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  • 22. 

    Excluding stoppages, the speed of a bus is 81 km/hr and including stoppages, it is 54 km/hr. For how many minutes does the bus stop per hour?

    • 20 min

    • 10 min

    • 15 min

    • 30 min

    • None

    Correct Answer
    A. 20 min
    Explanation
    Due to stoppages, bus covers 81 – 54 = 27 km less
    ∴ Time taken to cover 27 km = 27/81 X 60 = 20 min
    Hence the bus stops 20 minutes per hour.

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  • 23. 

    A train is scheduled to cover the distance between two stations 90 km apart in one hour. If it travels 55 km at a speed of 80 kmph, find the speed for the remaining journey to complete it within the scheduled time.

    • 112 kmph

    • 115 kmph

    • 118 kmph

    • 120 kmph

    • None

    Correct Answer
    A. 112 kmph
    Explanation
    Distance between two stations = 90 km
    Let the speed for the remaining journey be x kmph
    ∴ 55/80 + 35/x = 1
    35/x = 1 – 55/80 = 25/80
    ∴ x = 35 X 80/25
    ∴ x = 112 kmph
    ∴ Train has to move at the speed of 112 kmph.

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  • 24. 

    A man takes a total of 6 hours 30 minutes by walking to a certain place and coming back by cycle. He would have gained 1 hour 30 minutes by cycling both ways. The time he would take to walk both ways is

    • 8 hours

    • 7 hours

    • 10 hours

    • 12 hours

    • None

    Correct Answer
    A. 8 hours
    Explanation
    By cycling + by walking = 6 hours 30 minutes
    One way by cycling = 6 hrs 30 min – 1 hr 30 min/2
    = 2 hours 30 minutes
    ∴ By walking both ways = 2 (6 hrs 30 min – 2 hrs 30 min) = 8 hours.

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  • 25. 

    A car covers a distance between A and B in 45 minutes. If the speed of the car is reduced by 8 km per hour then the same distance is covered by 49.5 minutes. What is the distance between A and B?

    • 60 km

    • 76 km

    • 80 km

    • 66 km

    • None

    Correct Answer
    A. 66 km
    Explanation
    Let the distance between A and B be d km
    Then, d/ 45/60 – d/ 49.5/60 = 8
    4d/4 – 120d/99 = 8
    132d – 120d/99 = 8
    ∴ d = 8 X 99/12 = 66 km.

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  • Current Version
  • Mar 20, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Mar 29, 2017
    Quiz Created by
    Divyanaidu94
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