Question

Mark can run 2 miles in 16 minutes. At that rate, how long will it take Mark to run 5 miles?

8 minutes


30 minutes


40 minutes


50 minutes

Answer 1

In order to solve this problem, we must find the rate at which the number of minutes it takes for Mark to run 1 mile.

We can set up a proportion.

If
`(2-miles)/(16-minutes)`, then

`(2)/(16) = (1)/(x)`, where x is equal to the number of minutes it takes to run one mile.

Cross multiply, and we get:
2x=16
x=8, so we know it takes 8 minutes for Mark to run one mile.

We can set up another proportion.


`(1)/(8) = (5)/(y)`, where y is the number of minutes it takes to run 5 miles.

Cross multiply and we get:
y=40

It takes 40 minutes for Mark to run 5 miles, or answer choice C.