Question

A runner can run 2 miles in 14 minutes. At this rate, how many miles can he run in 70 minutes?

Answer 1

The answer is that the runner can run 10 miles in 70 minutes.

Explanation:

To solve for the number of miles that the runner can run in 70 minutes, start by setting up the information given from the problem in the form of a proportion.

A proportion is an equation which defines that the two given ratios are equivalent to each other. In other words, the proportion states the equality of the two fractions or the ratios. In a proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

The proportion for this problem will look like
`(2 miles)/(14 minutes)=(x)/(70 minutes)`. (x) will be used as the variable for the number of miles that the runner can run in 70 minutes.

To solve the proportion, start by cross multiplying to form an equation, and the equation will look like
`(14)(x)=(2)(70)`. Next, simplify the equation, which will look like
`(14)(x)=140`. Then, solve the equation by dividing both sides of the equation by 14, and it will look like
`x=10`. The final answer is that the runner can run 10 miles in 70 minutes.