A boat takes 20 hours for travelling downstream from point A to point B and comes back to a midpoint C between A and B. The speed of the stream is 5 km/h and the speed of the boat in still water is 10 km/h. Find the distance between A and B (in km).
A.100
B.75
C.150
D.120✓ Correct
Explanation
Downstream speed=15, upstream speed=5. Let AB=x km. x/15 + x/10 = 20 → (2x+3x)/30 = 20 → x = 120 km.
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