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A train when moves at an average speed of 40 kmph, reaches its destination on time. When its average speed becomes 35 kmph, then it reaches its destination 15 minutes late. Find the length of journey.

Correct answer: C. 70 km

  • A. 30 km
  • B. 40 km
  • C. 70 km
  • D. 80 km

Explanation

The delay is 15 min = 0.25 h, so D/35 h - D/40 h = 0.25 h. Hence D x (5/1400) h/km = 0.25 h, giving D = 70 km; 80 km results from using an incorrect time difference or subtracting speeds without forming travel times.

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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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