Multiple choice

In a stream running at 2 kmph, a boat goes 10 km upstream and back again to the starting point in 55 minutes. Find the speed of the boat in still water.

  1. 8 km/hr.

  2. 11 km/hr.

  3. 22 km/hr.

  4. 17 km/hr.

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let boat speed in still water be b kmph. Upstream speed = b-2 kmph, downstream speed = b+2 kmph. Time upstream = 10/(b-2) hours, time downstream = 10/(b+2) hours. Total time = 10/(b-2) + 10/(b+2) = 55/60 hours. Solving gives b = 22 kmph. Option A (8 kmph) is too slow - the boat would barely move upstream. Option B (11 kmph) is a common error from incorrect equation setup. Option D (17 kmph) doesn't satisfy the time equation.