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
`(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 } = (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 = (3)/(5)`

Therefore Jayden ran
`(3)/(5)` laps in 1 minute

Distance covered is:

Total track length =
`(2)/(5) \text{ km}`

Distance ran in 1 minute =
`(3)/(5) * (2)/(5) = (6)/(25)`

Thus Jayden ran
`(6)/(25)` of a kilometers in one minute