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### Question

Two similar boats, A and B, start to move towards each other. If they meet when A has travelled $(1/6)$^{th} of the distance, what is the ratio of the upstream speed to the downstream speed of a boat in that river?

**A**

5.

**B**

6.

**C**

4.

**D**

7.

**Soln.**

**Ans: a**

The boats are same, so they have the same speed in still water. Let the upstream speed be u and v be the downstream speed, and let the initial distance between them be L. When they meet they have travelled for the same time. So $(L/6)/u = ({5L}/6)/v$. The ratio $v/u$ = 5.