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CMA Foundation · Fundamentals of Business Mathematics and Statistics · Time and Distance

A boat's speed in still water is 10 km/h. It takes 1 hour more to travel a certain distance upstream than downstream, and the stream speed is 2 km/h. Find the distance.

With speeds of 12 km/h downstream and 8 km/h upstream, the time difference of 1 hour gives d/8 minus d/12 equal to 1. This simplifies to d/24 equal to 1, so the distance is 24 km.

  1. A20 km
  2. B24 kmCorrect
  3. C28 km
  4. D30 km

Explanation

Downstream speed = 12 km/h, upstream speed = 8 km/h. Let distance be d: d/8 - d/12 = 1, so d(3 - 2)/24 = 1 and d = 24 km. Using 10 km/h for both directions would give no time difference, so that approach is wrong.

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