Question

Using Unit Rates to convert

Measurements continued

5

Jason runs 440 y

Jason runs 440 yards in 75 seconds. At this rate, how many minutes does it take

him to run a mile? (1 mile = 1,760 yards)

es of

Answer 1

5 minutes

Explanation:

To find the number of minutes it takes Jason to run a mile, we have to first find the rate at which he runs.

This is called Jason's speed. It is given as

`Speed = (distance)/(time)`

`Speed = (440)/(75)\\ \\\\Speed = 5.86 yards/second`

From the formula of speed, time is given as:

`time = (distance)/(speed)`

Time taken for Jason to run 1 mile (1760 yards) will therefore be:

`time = (1760)/(5.86) \\\\\\time = 300.34 secs`

Converting this time to minutes yields:

60 seconds = 1 minute

300.34 equals:

`(300.34)/(60) = 5.0 minutes`

It takes Jason 5 minutes to run 1 mile.