Multiple choice

A train travels from station P to station Q and then returns back to station P with 20% more speed than the speed in the onward journey. The distance between the two stations is 1000 km and the train takes 37 hours to complete the whole journey taking a halt of 2 hours at station Q. What is the speed of the train in the return journey?

  1. 54 km/hr

  2. 62.86 km/h

  3. 52.38 km/hr

  4. 104.76 km/hr

  5. 60 km/hr
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total time is 37 hours, minus 2 hours halt = 35 hours travel time. Let v be the onward speed; return speed is 1.2v. Distance is 1000 km each way. Equation: 1000/v + 1000/(1.2v) = 35. Solving for v gives v = 52.38 km/hr. Return speed = 1.2 * 52.38 = 62.86 km/hr.

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