Question

A runner can run 5 miles in 26 minutes at this rate how many miles can he run and 41.6 minutes?

Answer 1

5 miles = 26 min

41.6 min / 5 miles = 8.32 miles

round off = 8 miles

The runner will run 8 miles total and 41.6 minutes

Answer 2

8 miles

Explanation:

Given: A runner can run 5 miles in 26 minutes, 41.6 minutes = ___

To find: At this rate, how many miles can he run and 41.6 minutes?

Solution: If the runner ran 5 miles in 26 minutes, to find how far he ran in 41.6 minutes, set up a fraction:

let x be the variable

`(26)/(5) = (41.6)/(x)`

Apply fraction cross multiply;

`26x=5\cdot \:41.6`

`26x = 208`

Divide both sides by 26

`(26x)/(26)=(208)/(26)`

Simplify

`x = 8`

Then, at the rate, the runner ran 8 miles 41.6 minutes