Question

A boat travels 10 miles per hour upstream and 16 miles per hour downstream. How fast is the​ current?

Answer 1

Answer: The speed of the current is 3 miles per hour.

Explanation:

Let x = speed of boat , y= speed of current.

Given:

x-y=10 (Upstream) ...(i)

x+y= 16 (Downstream) ...(ii)

Adding (i) and (ii), we get

2x=26

⇒ x= 13

Put x=13 in (i), we get

13-y=10

⇒ y=13-10

⇒ y=3

Hence, the speed of the current is 3 miles per hour.