Question

Destiny can run one-eighth of a mile in three-quarters of a minute, and she can walk one-quarter of a mile in 4 minutes. How many miles total will it take for Destiny to run one mile and then walk one mile? Show your work.

Answer 1

a) Destiny can run 1 mile is 6 minutes.

b) Destiny can walk back 1 mile is 16 minutes.

Explanation:

The running rate of Destiny is

`((1)/(8)) \textrm{mile in} ((3)/(4)) \textrm{minutes}`

So, she runs 1 mile in
`8 * ((3)/(4) )\textrm{minutes}`

= 6 minutes

Hence, Destiny can run 1 mile is 6 minutes.

The walking rate of Destiny is

`((1)/(4)) \textrm{mile in} 4  \textrm{minutes}`

So, she walks 1 mile in
`4 * (4 )\textrm{minutes}`

= 16 minutes

Hence, Destiny can walk back 1 mile is 16 minutes.