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A car traveling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. What is the actual speed of the car?

Correct answer: B. 35 km/hr

  • A. 30 km/hr
  • B. 35 km/hr
  • C. 25 km/hr
  • D. 40 km/hr

Explanation

The given time is 1 h + 40/60 h + 48/3600 h = 1.68 h. The reduced speed is 42 km ÷ 1.68 h = 25 km/h, and since this is 5/7 of the actual speed, actual speed = 25 km/h x 7/5 = 35 km/h; 30 km/h usually results from reversing the 5/7 multiplier incorrectly.

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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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