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A boat travels a certain distance downstream in 8 hours when speed of stream is 7 km/hour. It travels 6 km more upstream in 37.5 hours. Find the speed of the boat in still water. 
1. 16
2. 11
3. 14
4. 19

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Correct Answer - Option 2 : 11

Given:

A boat travels a certain distance downstream in 8 hours when speed of stream is 7 km/hour. It travels 6 km more upstream in 37.5 hours. 

Formula:

Upstream = (u−v) km/hr

Downstream = (u+v) Km/hr

where “u” is the speed of the boat in still water and “v” is the speed of the stream

Speed of Boat in Still Water = 1/2 (Downstream Speed + Upstream Speed)

Speed of Stream = 1/2 (Downstream Speed – Upstream Speed)

Calculation:

Let the speed of the boat in still water be x and the distance be D.

D = 8 (x + 7)

⇒ D + 6 = 37.5 (x - 7)

⇒ 8(x + 7) + 6 = 37.5 (x - 7)

⇒ x = 11

∴ Speed of the boat in still water = 11 km/hour

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