Multiple choice

A boat takes 2 hours to travel a certain distance downstream and 3 hours upstream. If the stream speed is 2 km/h, the speed of the boat is:

  1. 14 km/h

  2. 12 km/h

  3. 10 km/h

  4. 8 km/h
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let boat speed be B and stream speed be S=2. Downstream speed = B+2, Upstream speed = B-2. Distance = (B+2)*2 = (B-2)*3. 2B+4 = 3B-6. B = 10 km/h.

AI explanation

Let the speed of the boat in still water be b km/h. Since the distance traveled downstream in 2 hours equals the distance traveled upstream in 3 hours, we can write 2(b + 2) = 3(b - 2). Expanding both sides gives 2b + 4 = 3b - 6. Solving for b, we find b = 10.

Keep practicing — related questions