Question

A fisherman can row 9 miles downstream in the same amount of time it takes him to row 3 miles upstream of the curent is 6 miles per hour, find how long it take shim to cover 12 miles

Answer 1

Answer:

It will take 1 hour.

Step-by-step explanation:

Given,

Speed of current = 6 miles per hour,

Let x be the speed of boat ( in miles per hour ),

So, the speed of fisherman,

In downstream = (x + 6) miles per hour,

In upstream = (x-6) miles per hour,

Since $Time =\frac{Distance}{Speed}$

Thus, the time taken in 9 km downstream = $\frac{9}{x+6}$

And, the time taken in 3 km upstream = $\frac{3}{x-6}$

According to the question,

     $\frac{9}{x+6}=\frac{3}{x-6}$

     $\frac{3}{x+6}=\frac{1}{x-6}$

$3x-18=x+6$

$3x-x=6+18$

     $2x=24$

      $x=12$

Thus, the speed fisherman is 12 miles per hour.

Hence, the time taken to cover 12 miles is 1 hour.