A certain distance is covered by a cyclist at a certain speed. I

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 Multiple Choice QuestionsMultiple Choice Questions

31.

The distance between A and B is 999 km. An express train leaves place A at 6am and runs at a speed of 55.5 km/hr. The train stops on the way for 1 hour 20 minutes. It reaches B at

  • 1.20 am

  • 12 pm

  • 6 pm

  • 6 pm

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32.

A certain distance is covered by a cyclist at a certain speed. If a jogger covers half the distance in double the time, the ratio of the speed of the jogger to that of the cyclist is

  • 1 : 4

  • 4 : 1

  • 1 : 2

  • 1 : 2


A.

1 : 4

Let the speed of cyclist be x kmph   ...(i)
and its time to cover a distance be y hours.
Distance space equals space speed space cross times space time
              = (x)  X  (y) km
Distance covered by cyclist is xy km 

Distance covered by jogger = (xy /2) km
Time  = 2y hours
Speed space equals space Distance over Time equals space fraction numerator xy over denominator 2 cross times 2 straight y end fraction space space space space... left parenthesis 2 right parenthesis
From (i) and (ii)
Ratio of their speeds = fraction numerator xy over denominator 2 space cross times space 2 straight y end fraction space colon thin space straight x space equals space 1 space colon space 4

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33.

If a boy walks from his house to school at the rate of 4 km per hour, he reaches the school 10 minutes earlier than the scheduled time. However, if he walks at the rate of 3 km per hour, he reaches 10 minutes late. Find the distance of his school from his house.

  • 5 km

  • 4 km

  • 6 km

  • 6 km

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34.

A car covers 1 fifth of the distance from A to B at the speed of 8km/hr, 1 over 10 of the distance at 25 km per hour and the remaining at the speed of 20 km per hour. Find the average speed of the whole journey.

  • 12.625 km/hr

  • 13.625 km/hr

  • 14.625 km/hr

  • 14.625 km/hr

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35.

Walking at 3 km per hour, Pintu reaches his school 5 minutes late. If he walks at 4 km per hour he will be 5 minutes early. The distance of Pintu's school from his house is

  • 1 1 half space km
  • 2 km

  • 2 fraction numerator 1 space over denominator 2 end fraction space km
  • 2 fraction numerator 1 space over denominator 2 end fraction space km
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36.

A man driving at 3 over 4 th of his original speed reaches his destination 20 minutes later than the usual time. Then the usual time is

  • 45 minutes

  • 60 minutes

  • 75 minutes

  • 75 minutes

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37.

A motor boat, travelling at the same speed, can cover 25 km upstream and 39 km downstream in 8 hours. At the same speed, it can travel 35 km upstream and 52 km downstream in 11 hours. The speed of the stream is

  • 2 km/hr

  • 3 km/hr

  • 4 km/hr

  • 4 km/hr

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38.

A motor-boat can travel at 10 km/hour in still water. It travelled 91 km downstream in a river and then returned to the same place, taking altogether 20 hours. Find the rate of flow of river.

  • 3 km/hour

  • 4 km/hour

  • 2 km/hour

  • 2 km/hour

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39.

If A travels to his school from his house at the speed of 3 km/hr, then he reaches the school 5 minutes late. If he travels at the speed of 4 km/hr, he reaches the school 5 minutes earlier than school time. The distance of his school from his house is

  • 1 km

  • 2 km

  • 3 km

  • 3 km

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40.

Two places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at a constant speed, they meet in 5 hours. If the cars travel towards each other, they meet in 1 hour. What is the speed of the car running faster?

  • 60 km/hr

  • 50 km/hr

  • 40 km/hr

  • 40 km/hr

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