Multiple choice

At his usual rowing speed, kapil can travel 12 miles downstream in a certain riven in 6 h less than he takes to travel the same distance upstream. But, if he could double his usual rowing speed for his 24 mile round trip, the downstream 12 miles would then take only 1 h less than the upstream 12 miles, what is the speed of the current in mile/h?

  1. 2 2/3 mile/h

  2. 3 2/3 mile/h

  3. 5 2/3 mile/h

  4. 7 2/3 mile/h
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let v be rowing speed and c be current speed. The equations derived from the two scenarios (12/(v-c) - 12/(v+c) = 6 and 12/(2v-c) - 12/(2v+c) = 1) allow solving for c. Solving these yields c = 8/3 or 2 2/3 mph.

Keep practicing — related questions