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### Discussion :: Boats and Streams

1. A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:

2.  A. 1 km/hr B. 1.5 km/hr C. 2 km/hr D. 2.5 km/hr

Explanation :

Suppose he move 4 km downstream in x hours. Then,

 Speed downstream = $$\frac { 4 } {X }$$kmhr

 Speed upstream =$$\frac { 3 } {X }$$kmhr

$$\frac { 48 } {(4/X) }$$+$$\frac { 48 } {(3/X) }$$= 14 or x =$$\frac { 1 } { 2 }$$

So, Speed downstream = 8 km/hr, Speed upstream = 6 km/hr.

Rate of the stream=$$\frac { 1 } { 2 }$$(8 - 6) km/hr = 1 km/hr.

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