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Distance, Speed and Time

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Q 1. Two trains each of {tex} 120 \mathrm { m } {/tex} in length, run in opposite directions with a velocity of {tex} 40 \mathrm { m } / \mathrm { s } {/tex} and {tex} 20 \mathrm { m } / \mathrm { s } {/tex} respectively. How long will it take for the tail ends of the two trains to meet each other during the course of their journey:

{tex} 20 \mathrm { s } {/tex}

{tex} 3 \mathrm { s } {/tex}

{tex} 4 \mathrm { s } {/tex}

{tex} 5 \mathrm { s } {/tex}

None of these

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Q 2. A man sitting in a train which is travelling at {tex} 50 \mathrm { kmph } {/tex} observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. If the goods train is {tex} 280 \mathrm { m } {/tex} long, find its speed.

{tex} 62 \mathrm { kmph } {/tex}

{tex} 58 \mathrm { kmph } {/tex}

{tex} 52 \mathrm { kmph } {/tex}

{tex} 50 \mathrm { kmph } {/tex}

None of these

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Q 3. A boat covers a distance of {tex} 30 \mathrm { km } {/tex} downstream in 2 hours while it take 6 hours to cover the same distance upstream. If the speed of the current is half of the speed of the boat then what is the speed of the boat in {tex} \mathrm { km } {/tex} per hour?

{tex} 15 \mathrm\ { kmph } {/tex}

{tex} 5 \mathrm\ { kmph } {/tex}

{tex} 10 \mathrm\ { kmph } {/tex}

Data inadequate

None of these

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Q 4. A train 75 metres long overtook a man who was walking at the rate of {tex} 6 \mathrm { km } / \mathrm { h } {/tex} and passed him in 18 seconds. Again, the train overtook a second person in 15 seconds. At what rate was the second person travelling?

{tex} 3 \mathrm { km } / \mathrm { h } {/tex}

{tex} 2.5 \mathrm { km } / \mathrm { h } {/tex}

{tex} 4 \mathrm { km } / \mathrm { h } {/tex}

{tex} 1.5 \mathrm { km } / \mathrm { h } {/tex}

None of these

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Q 5. A train leaves station {tex} \mathrm { X } {/tex} at 5 a. {tex} \mathrm { m } {/tex}. and reaches station {tex} \mathrm { Y } {/tex} at 9 a. {tex} \mathrm { m } . {/tex} Another train leaves station {tex} \mathrm { Y } {/tex} at {tex} 7 \mathrm { a.m. } {/tex} and reaches station {tex} \mathrm { X } {/tex} at 10: 30 a.m. At what time do the two trains cross each other?

{tex} 7: 36 \mathrm { am } {/tex}

{tex} 7: 56 \mathrm { am } {/tex}

{tex} 8: 36 \mathrm { am } {/tex}

{tex} 8: 56 \mathrm { am } {/tex}

None of these

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Q 6. {tex} \mathrm { R } {/tex} and {tex} \mathrm { S } {/tex} start walking towards each other at {tex} 10 \mathrm { AM } {/tex} at the speeds of {tex} 3 \mathrm { km } / \mathrm { h } {/tex} and {tex} 4 \mathrm { km } / \mathrm { h } {/tex} respectively. They were initially {tex} 17.5 \mathrm { km } {/tex} apart. At what time do they meet?

{tex} 2: 30 \mathrm { PM } {/tex}

{tex} 11: 30 \mathrm { AM } {/tex}

{tex} 1: 30 \mathrm { PM } {/tex}

{tex} 12: 30 \mathrm { PM } {/tex}

None of these

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Q 7. A 300 metre-long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?

320 metres

650 metres

350 metres

Data inadequate

None of these

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Q 8. Excluding the stoppages, the speed of a bus is 64{tex} \mathrm { km } / \mathrm { hr } {/tex} and including the stoppages the speed of the bus is 48{tex} \mathrm { km } / \mathrm { hr } {/tex} . For how many minutes does the bus stop per hour?

12.5 minutes

15 minutes

10 minutes

18 minutes

None of these

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Q 9. A man starts from {tex} B {/tex} to {tex} K {/tex} and another from {tex} K {/tex} to {tex} B {/tex} at the same time. After passing each other they complete their journeys in 3{tex} \frac { 1 } { 3 } {/tex} and 4{tex} \frac { 4 } { 5 } {/tex} hours, respectively. Find the speed of the second man if the speed of the first is 12{tex} \mathrm { km } / \mathrm { hr } {/tex} .

12.5{tex} \mathrm { kmph } {/tex}

10{tex} \mathrm { kmph } {/tex}

12.66{tex} \mathrm { kmph } {/tex}

20{tex} \mathrm { kmph } {/tex}

None of these

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Q 10. A bike covers a certain distance at the speed of 64{tex} \mathrm { km } / \mathrm { hr } {/tex} in 8 hours. If a bike was to cover the same distance in approximately 6 hours, at what approximate speed should the bike travel?

80{tex} \mathrm { km } / \mathrm { hr } {/tex}

85{tex} \mathrm { km } / \mathrm { hr } {/tex}

90{tex} \mathrm { km } / \mathrm { hr } {/tex}

75{tex} \mathrm { km } / \mathrm { hr } {/tex}

70{tex} \mathrm { km } / \mathrm { hr } {/tex}

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Q 11. A car covers a distance of 540{tex} \mathrm { km } {/tex} in 9 hours. Speed of a train is double the speed of the car. Two-third the speed of the train is equal to the speed of a bike. How much distance will the bike cover in 5 hours?

450{tex} \mathrm { km } {/tex}

360{tex} \mathrm { km } {/tex}

400{tex} \mathrm { km } {/tex}

500{tex} \mathrm { km } {/tex}

None of these

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Q 12. Local trains leave from a station at an interval of 14 minutes at a speed of {tex} 36 \mathrm { km } / \mathrm { h } {/tex}. A man moving in the same direction along the road meets the trains at an interval of 18 minutes. Find the speed of the man.

{tex} 8 \mathrm { km } / \mathrm { h } {/tex}

{tex} 7 \mathrm { km } / \mathrm { h } {/tex}

{tex} 6 \mathrm { km } / \mathrm { h } {/tex}

{tex} 5.8 \mathrm { km } / \mathrm { h } {/tex}

None of these

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Q 13. A man covers a certain distance on a scooter. If the scooter moved 4{tex} \mathrm { km } / \mathrm { h } {/tex} faster, it would take 30 minutes less. If it moved 2{tex} \mathrm { km } / \mathrm { h } {/tex} slower, it would have taken 20 minutes more. Find the distance.

60{tex} \mathrm { km } {/tex}

58{tex} \mathrm { km } {/tex}

55{tex} \mathrm { km } {/tex}

50{tex} \mathrm { km } {/tex}

None of these

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Q 14. Train A crosses a stationary train {tex} \mathrm { B } {/tex} in 35 seconds and a pole in 14 seconds with the same speed. The length of the train {tex} \mathrm { A } {/tex} is 280 meters. What is the length of the stationary train {tex} \mathrm { B } {/tex} ?

360 meters

480 meters

400 meters

Cannot be determined

None of these

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Q 15. A boat running downstream covers a distance of 16{tex} \mathrm { km } {/tex} in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?

4{tex} \mathrm { km } / \mathrm { h } {/tex}

6{tex} \mathrm { km } / \mathrm { h } {/tex}

8{tex} \mathrm { km } / \mathrm { h } {/tex}

Data inadequate

None of these

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Q 16. A 200 meter long train crosses a platform double its length in 36 seconds. What is the speed of the train in {tex} \mathrm { km } / \mathrm { hr } {/tex} ?

60

48

64

66

None of these

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Q 17. A man rides a horse at the rate of 11 miles an hour, but stops for 5 min to change horse at the end of every seventh mile. How long will he take to cover a distance of 96 miles? (Approx.)

7{tex} \mathrm { hr } .20 \mathrm { min } {/tex}

6{tex} \mathrm { hr } .25 \mathrm { min } {/tex}

8{tex} \mathrm { hr } .42 \mathrm { min } {/tex}

9 hr. 48{tex} \mathrm { min } {/tex}

None of these

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Q 18. A jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?

{tex} 3.6 \mathrm { sec } {/tex}

{tex} 18 \mathrm { sec } {/tex}

{tex} 36\mathrm { sec } {/tex}

{tex} 72\mathrm { sec } {/tex}

None of these

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Q 19. A train consists of 12 boggies, each boggy 15 metres long. The train crosses a telegraph post in 18 seconds. Due to some problem, two boggies were detached. The train now crosses a telegraph post in

{tex} 18 \mathrm { sec } {/tex}

12 sec

15 sec

{tex} 20 \mathrm { sec } {/tex}

None of these

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Q 20. The speed of a car increases by {tex} 2 \mathrm { km } {/tex} after every hour. If the distance travelled in the first hour was {tex} 35 \mathrm { km } , {/tex} what was the total distance travelled in {tex} 12 \mathrm \ { hours } {/tex}?

522 km

456 km

556 km

482 km

None of these

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Q 21. Train 'A' leaves Mumbai Central for Lucknow at {tex} 11 \mathrm { am } {/tex}, running at the speed of {tex} 60 \mathrm { kmph } {/tex}. Train 'B' leaves Mumbai Central for Lucknow by the same route at {tex} 2 \mathrm { pm } {/tex} on the same day, running at the speed of {tex} 72 \mathrm { kmph } {/tex}. At what time will the two trains meet each other?

2 am on the next day

5 am on the next day

5 pm on the next day

2 pm on the next day

None of these

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Q 22. On a journey across Bombay, a tourist bus averages 10{tex} \mathrm { km } / \mathrm { h } {/tex} for 20{tex} \% {/tex} of the distance, 30{tex} \mathrm { km } / \mathrm { h } {/tex} for 60{tex} \% {/tex} of it and 20 {tex} \mathrm { km } / \mathrm { h } {/tex} for the remainder. The average speed for the whole journey was

10{tex} \mathrm { km } / \mathrm { h } {/tex}

30{tex} \mathrm { km } / \mathrm { h } {/tex}

5{tex} \mathrm { km } / \mathrm { h } {/tex}

20{tex} \mathrm { km } / \mathrm { h } {/tex}

None of these

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Q 23. Subbu starts from a point {tex} \mathrm { O } {/tex} at {tex} 10 : 00 \mathrm { a } \mathrm { m } . {/tex} overtakes Ajay, who is moving in the same direction, at {tex} 11 : 00 \mathrm { a.m. } {/tex} and Bhuvan moving in the opposite direction at {tex} 12 : 00 {/tex} (noon). If the speed of Bhuvan is one fourth the speed of Subbu, at what time will Ajay and Bhuvan cross each other?

{tex} 1 : 30 \ pm {/tex}

{tex} 2 : 00 \ pm {/tex}

{tex} 2 : 30 \ pm {/tex}

Cannot be determined

None of these

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Q 24. A train running between two stations {tex} A {/tex} and {tex} B {/tex} arrives at its destination 10 minutes late when its speed is 50{tex} \mathrm { km } / \mathrm { h } {/tex} and 50 minutes late when its speed is 30{tex} \mathrm { km } / \mathrm { h } {/tex} . What is the distance between the stations {tex} \mathrm { A } {/tex} and {tex} \mathrm { B } {/tex} ?

40{tex} \mathrm { km } {/tex}

50{tex} \mathrm { km } {/tex}

60{tex} \mathrm { km } {/tex}

70{tex} \mathrm { km } {/tex}

None of these

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