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ITBP Time, Speed and Distance — practice questions — page 2

Explore 39 free Time, Speed and Distance questions in ITBP Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Time, Speed and Distance questions and exercises with answers

Showing questions 31–39 of 39.

For a fixed distance, if the speed is increased then the time taken:Read the answer and worked solution →A journey takes 120 km at a steady 60 km per hour. The time taken is:Read the answer and worked solution →Zaheeda doubles her speed on the same route. The time she takes:Read the answer and worked solution →A car covers 300 km at 50 km per hour. At 75 km per hour the same trip would take:Read the answer and worked solution →A train 150 m long runs at 54 km per hour. The time it takes to pass a pole is:Read the answer and worked solution →A train 200 m long crosses a 100 m platform at 36 km per hour. It takes:Read the answer and worked solution →A man travels equal distances at 40 km per hour and at 60 km per hour. His average speed is:Read the answer and worked solution →A man covers a distance in 6 hours at 40 km per hour. To cover it in 4 hours he must travel at:Read the answer and worked solution →A car uses 4 litres of petrol for 60 km. Its mileage in km per litre is:Read the answer and worked solution →

Worked practice questions

For a fixed distance, if the speed is increased then the time taken:

  1. Decreases
  2. Increases
  3. Stays the same
  4. Doubles
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Correct answer: A. Decreases

1. Speed and time are in inverse proportion when the distance is fixed. 2. If we increase the speed, the time taken to cover a given distance decreases. 3. Doubling the speed halves the time, and tripling it cuts the time to one third. 4. The product of speed and time stays equal to the distance throughout. 5. That constant product is what every question of this type turns on. _Source: syllabus Maths, Ch 11 'Direct and Inverse Proportions', S11.3 Inverse Proportion_

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A journey takes 120 km at a steady 60 km per hour. The time taken is:

  1. 1.5 hours
  2. 2 hours
  3. 2.5 hours
  4. 3 hours
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Correct answer: B. 2 hours

1. Time is distance divided by speed. 2. Here the distance is 120 km and the speed is 60 km per hour. 3. So the time is 120 / 60. 4. That is 2 hours. 5. Checking the other way, 60 km per hour for 2 hours covers 120 km. _Source: syllabus Maths, Ch 11 'Direct and Inverse Proportions', S11.3 Inverse Proportion_

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Zaheeda doubles her speed on the same route. The time she takes:

  1. Doubles
  2. Falls to one third
  3. Falls to one half
  4. Is unchanged
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Correct answer: C. Falls to one half

1. The route is the same, so the distance is fixed. 2. Speed and time are therefore in inverse proportion. 3. As Zaheeda doubles her speed by running, the time reduces to half. 4. Increasing her speed threefold by cycling would cut the time to one third. 5. So the factor by which speed rises is exactly the factor by which time falls. _Source: syllabus Maths, Ch 11 'Direct and Inverse Proportions', S11.3 Inverse Proportion_

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More Quantitative Aptitude topics

MensurationMultiplicationNumber PropertiesSimple InterestSquares And RootsPercentagesNumber SystemRatio and Proportion