A boatman finds that he can save `6 s` in crossing a river by the quickest path than by the shortest path. If the velocity of the boat and the river be, respectively, `17 ms^-1 and 8 ms^-1`, find the river width.

Explanation

To solve the problem, we will break it down into steps:

### Step 1: Understand the Problem
We need to find the width of the river (W) given that a boatman saves 6 seconds by taking the quickest path instead of the shortest path. The velocity of the boat (V_bg) is 17 m/s, and the velocity of the river (V_rg) is 8 m/s.

### Step 2: Calculate Time for Shortest Path
The shortest path is when the boat crosses directly across the river. The effective velocity of the boat across the river is the velocity of the boat with respect to the river (V_br).

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