A motor boat, travelling at the same speed, can cover 25 km upst

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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

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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


C.

4 km/hr

Let the speed of motorboat in still water be x kmph and speed of stream be y kmph.
According to the question,
  rightwards double arrow space space fraction numerator 25 over denominator straight x minus straight y end fraction space plus space fraction numerator 39 over denominator straight x plus straight y end fraction space equals space 8 space space space... left parenthesis straight i right parenthesis
rightwards double arrow space space fraction numerator 35 over denominator straight x minus straight y end fraction space plus space fraction numerator 52 over denominator straight x plus straight y end fraction space equals space 11 space... left parenthesis ii right parenthesis
By solving (i) and (ii),
x = 9,  y = 4
Hence, the speed of stream y = 4 kmph

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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

141 Views

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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