Multiple choice

Speed of a boat in still water is 12 kmph and the speed of the current is 4 kmph. Boat travels downstream from A to B and back upstream from B to A in 6 hours. What is the distance between A and B?

  1. 70 km

  2. 45 km

  3. 24 km

  4. 32 km

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let d be the distance. The downstream speed is 12+4=16 kmph and upstream speed is 12-4=8 kmph. The total time is d/16 + d/8 = 6. Solving this, 3d/16 = 6, so d = 32 km.

AI explanation

The downstream speed is 12 plus 4, which equals 16 kmph, and the upstream speed is 12 minus 4, which equals 8 kmph. Let the distance be D; the total time of 6 hours gives the equation (D/16) plus (D/8) equals 6. Solving this yields D equals 32 km.

Keep practicing — related questions