Question

Angel and Jayden were at track practice. The track is two-fifth kilometers around. Angel ran 1 lap in 2 minutes. Jayden ran 3 laps in 5 minutes. How far does Jayden run in one minute?

Answer 1

Jayden ran $\frac{6}{25}$ of a kilometers in one minute

Solution:

Given that Angel and Jayden were at track practice

The track is two-fifth kilometers around

$\text{ track length } = \frac{2}{5} \text{ kilometers}$

Angel ran 1 lap in 2 minutes

Jayden ran 3 laps in 5 minutes

To find: distance ran by Jayden in 1 minute

3 laps were run by Jayden in 5 minutes

3 laps = 5 minutes

"x" laps = 1 minute

Therefore laps run by Jayden in one minute is:

On cross multiplication we get,

5x = 3

$x = \frac{3}{5}$

Therefore Jayden ran $\frac{3}{5}$ laps in 1 minute

Distance covered is:

Total track length = $\frac{2}{5} \text{ km}$

Distance ran in 1 minute = $\frac{3}{5} \times \frac{2}{5} = \frac{6}{25}$

Thus Jayden ran $\frac{6}{25}$ of a kilometers in one minute