A boat covers a certain distance downstream in 1 hour, while it comes back in 1 hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?

Question:
A boat covers a certain distance downstream in 1 hour, while it comes back in 1 hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?

[A].

12 kmph

[B].

13 kmph

[C].

14 kmph

[D].

15 kmph

Answer: Option D

Explanation:

Let the speed of the boat in still water be x kmph. Then,

Speed downstream = (x + 3) kmph,

Speed upstream = (x – 3) kmph.

(x + 3) x 1 = (x – 3) x 3
2

2x + 6 = 3x – 9

x = 15 kmph.