Question

Jackie's commute is 15 minutes longer than Laura's. If Laura drives 12 minutes for every 17 minutes Jackie drives what are both Jackie's and Laura's drives?

Answer 1

Laura drives for
`36\ \text{minutes}` while Jackie drives for
`51\ \text{minutes}`

Explanation:

Laura's commute is
`x\ \text{minutes}`

Jackie's commute is

`x+15`

Laura drives 12 minutes for every 17 minutes Jackie drives so

For every minutes Laura drives Jackie drives
`(17)/(12)\ \text{minutes}`

So,

`(17)/(12)=(x+15)/(x)\\\Rightarrow 17x=12x+180\\\Rightarrow 5x=180\\\Rightarrow x=(180)/(5)\\\Rightarrow x=36\ \text{minutes}`

Hence, Laura drives for
`36\ \text{minutes}` while Jackie drives for
`36+15=51\ \text{minutes}`.