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A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. What is the speed of the car?

Correct answer: C. 120 kmph

  • A. 80 kmph
  • B. 102 kmph
  • C. 120 kmph
  • D. 140 kmph

Explanation

Let the car speed be v kmph, so the train speed is 1.5v kmph. Their running-time difference is 75/v hours - 75/(1.5v) hours = 25/v hours, which equals 12.5 minutes = 5/24 hour; hence v = 120 kmph. The likely choice is a, 80 kmph, from adding the stopping time instead of subtracting it from the available travel time.

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About Time, Speed and Distance

Problems relate distance, speed and time through the formula distance = speed × time, including unit conversion, average speed, relative speed and motion in opposite or the same direction. Questions may involve trains, boats and streams, where the effective speed changes, so average speed must not be confused with the simple average of two speeds.

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