Question

Athlete J runs 2/3 of a mile in 8 minutes. Athlete H runs 2 3/4 miles in 1/2 hour.
If Athlete J continues at that speed, how long will it take to run one mile?

Answer 1

The speed of an athlete or a car or bicycle is given by the time it takes the athlete or car to complete a unit distance.

• The time it would take runner J to complete 1 mile is 12 minutes

Reasons:

The time it takes athlete J to run 2/3 miles = 8 minutes

The time it takes athlete H to run $2\frac{3}{4}$ miles = $\frac{1}{2}$ hour

Required:

The time it would take athlete J to run one mile

Solution:

$\displaystyle \frac{2}{3} \ mile \ takes \ runner \ J \ 8 \ minutes$

Therefore;

$\displaystyle \frac{\frac{2}{3} \ mile}{\frac{2}{3} } \ takes \ runner \ J \ \frac{8 \ minutes}{\frac{2}{3} }$

$\displaystyle \frac{\left(\frac{2}{3} \ mile \right)}{\left(\frac{2}{3} \right) } = 1 \ mile \ takes \ \frac{8 \ minutes}{\frac{2}{3} } = 8 \ minutes \times \frac{3}{2} = 12 \ minutes$

1 mile takes 12 minutes

It would take runner J 12 minutes to run 1 mile.

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