UPSC Prelims 2011·CSAT·Quantitative Aptitude·Time, Speed and Distance

If a bus travels 160 km in 4 hours and a train travels 320 km in 5 hours at uniform speeds, then what is the ratio of the distances travelled by them in one hour?

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Last updated 8 Jul 2026, 4:39 pm IST
  1. A8:5
  2. B5:8Correct
  3. C4:5
  4. D1:2

Explanation

Here's a brief explanation:

  1. Calculate the distance travelled by the bus in one hour (its speed): Bus speed = Total distance / Total time = 160 km / 4 hours = 40 km/hour.

  2. Calculate the distance travelled by the train in one hour (its speed): Train speed = Total distance / Total time = 320 km / 5 hours = 64 km/hour.

  3. Find the ratio of the distances travelled by them in one hour (Bus : Train): Ratio = 40 km : 64 km

  4. Simplify the ratio by dividing both numbers by their greatest common divisor, which is 8: 40 / 8 = 5 64 / 8 = 8 The simplified ratio is 5:8.

Therefore, option B is correct.

Quantitative Aptitude: If a bus travels 160 km in 4 hours and a train travels 320 km in 5 hours at uniform speeds, then what is the ratio of th

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