Question

Seth is training for a marathon he’s aleady running 2.5 miles 5 time a week. It takes him 30 minutes to run 2.5 miles He calculates how long will it take him to run the full 26 miles.

A. 5/30=26/x=156
B. 2.5/30=x/26 x=2.17
C. 2.5/30=26/x x=312
D. 2.5/26=x/30 x=2.88

Answer 1

Option C

Explanation:

Given : Seth is training for a marathon he’s already running 2.5 miles 5 time a week. It takes him 30 minutes to run 2.5 miles

To find : How long will it take him to run the full 26 miles.

Solution :

Let x be the time taken to cover 26 miles.

It takes him 30 minutes to run 2.5 miles

For 1 minute it cover
`(2.5)/(30)` miles.

For x minute it cover 26 miles

For 1 minute it cover
`(26)/(x)` miles.

Equating the equation we get,

`(2.5)/(30)=(26)/(x)`

`(30)/(2.5)* 26=x`

`x=26* 12`

`x=312`

Therefore, Option C is correct.