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A car travels 50% faster than a bike. Both start at the same time from A to B. The car reaches 25 minutes earlier than the bike. If the distance from A to B is 100 km, find the speed of the bike.

Correct answer: C. 80 km

  • A. 120 km
  • B. 100 km
  • C. 80 km
  • D. 75 km

Explanation

If the bike speed is v km/h, the car speed is 1.5v km/h. The time difference is 100/v h - 100/(1.5v) h = 25/60 h, giving v = 80 km/h; 100 km/h is a likely choice for treating the car's speed as only 50% more without applying the time difference correctly.

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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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