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### Question

The upstream journey of a boat takes 8 times the time it takes it to complete the downstream journey. What is the ratio of the speed of the boat in still water to the speed of the stream?

**A**

$1{2/7}$.

**B**

$2{2/3}$.

**C**

${2/9}$.

**D**

$3{1/3}$.

**Soln.**

**Ans: a**

Let the distance be L and the speed of the boat in still water be u, with v being the speed of the stream. We are given $L/{u - v} = 8 × L/{u + v}$. We can solve this equation for u/v to get u/v = ${8 + 1}/{8 - 1}$ = $1{2/7}$.