Let the amount of time taken by Michelle to get to work be x
let the amount spent on her way back home be y
According to the question, we are told that the time it took to drive home was ten minutes less than twice the time it took to drive to work. Expressing this mathematically will give;
y = 2x - 10
y - 2x = -10 ...... 1
If the average time Michelle spent in her car on the way to and from work was 43 minutes, then;
y + x = 43 ....... 2
Solve equation simultaneously
subtract equation 1 from 2;
(y-y) + (-2x-x) = -10-43
0 -3x = -53
-3x = -53
x = 53/3
x = 17.67 minutes
Hence the amount of time it took michelle to get to work is 17.67minutes