Question 28

A crew can row 10 miles in 5/6th of an hour down-stream and 12 miles upstream
in 90 minutes. Find the current's rate and crew's rate in still water.

Solution

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Let speed of crew= 'a' mph

Speed of current = 'b' mph

Downstream, the speeds will be added 

Upstream, the speeds will be subtracted

a+b = $$\frac{\left(10\right)}{\frac{5}{6}}$$ = 12 miles/hr

a-b = $$\frac{\left(12\right)}{\frac{3}{2}}$$ = 8 miles/hr

Solving the above two equations, we get a = 10 mph and b as 2 mph. 

Therefore, Option B is the correct answer. 

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