Question

Jaime runs 8 miles every 3 days.

At this rate how long will it take
Jaime to run 96 miles?

Answer 1

It will take Jaime 36 days to run 96 miles.

Explanation:

The formula for rate is:

`\boxed{\sf Rate=(Distance)/(Time)}`

Therefore, Jaime's run rate is:

`\implies \sf Rate=(8\;miles)/(3\;days)=(8)/(3) \;miles\;per\;day`

Rearrange the rate formula to isolate time:

`\implies \sf Time=(Distance)/(Rate)`

To find how long it will take for Jaime to run 96 miles, substitute the distance and rate into the formula and solve for time:

`\implies \sf Time=(96\;miles)/((8 \;miles)/(3\;days))`

`\implies \sf Time=96\;miles * (3\;days)/(8\;miles)`

`\implies \sf Time= (288)/(8)\;days`

`\implies \sf Time= 36\;days`

Therefore, it will take Jaime 36 days to run 96 miles.