Question

Susan would like to run 26 miles in 3 hours and 54 minutes. Currently, she can run 26 miles at a pace of 11 minutes/mile. If she plans on improving her pace by 15 seconds/mile every week, how much time will it take Susan to reach her goal?

Answer 1

Aim of Susan= $26$ miles in $3$ hours and $54$ minutes.

=$26$ miles in $(180+54)$ minutes.

= $26$ miles in $234$ minutes.

She can run $26$ miles at a pace of $11$ minutes/mile.

Total time taken= $26\ast 11$

= $286$ minutes.

She has to decrease $(286-234)$ minutes.

= $52$ minutes.

Time taken to cover $20$ miles in a week$\left(1\right)$= $\frac{26}{10}\ast 100$

= $260$ minutes.

Increases speed $=\frac{1}{4}$ minute/mile.

Distance travel $=\frac{1}{4}\ast 26=6.5$ minutes.

Now time taken $=260\ast 6.5=253.5$ minutes.