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A boat travels 36 km downstream in 2 hours

Question: A boat travels 36 km downstream in 2 hours and takes 3 hours to travel the same distance upstream. What is the speed of the boat in still water?
A) 12 km/h
B) 14 km/h
C) 15 km/h
D) 16 km/h


Solution:

Let the speed of the boat in still water be b km/h, and the speed of the current be c km/h.
Downstream speed:
b+c = 36 km/2 hours = 18 km/h
Upstream speed:
b−c = 36 km/3 hours = 12 km/h
Add the two equations:
b+c+b−c = 18+12
2b = 30⇒b=15 km/h

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