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

Question

asked Apr 22, 2022 198k views

1 Answer

J Brand · Answer 1 · 2022-04-27T01:43:10+0000

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.