SOLUTION: Maxine and Sammie have the same size lawn. Maxine can mow the lawn in 24 minutes and Sammie can mow the lawn in 36 minutes. If Maxine and Sammie begin to mow the lawn at the same t

Algebra ->  Equations -> SOLUTION: Maxine and Sammie have the same size lawn. Maxine can mow the lawn in 24 minutes and Sammie can mow the lawn in 36 minutes. If Maxine and Sammie begin to mow the lawn at the same t      Log On


   



Question 829787: Maxine and Sammie have the same size lawn. Maxine can mow the lawn in 24 minutes and Sammie can mow the lawn in 36 minutes. If Maxine and Sammie begin to mow the lawn at the same time, at what time will Sammie have exactly twice as much lawn left to mow as Maxine?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The job is 1 lawn.
Maxine's rate is 1%2F24 LAWN per MINUTE
Sammie's rate is 1%2F36 lawn per minute

This is a problem of the type R*t=j, where R is work rate in jobs per time, t is time, j is the amount of jobs.

To examine for "job left to do", this is a difference between one whole job and amount of job done. You need to feel comfortable with this, before continuing this solution.

READY?

Unknown time t,
Maxine, %281%2F24%29t job done.
Sammie, %281%2F36%29t job done.

Amount of job still unfinished by maxine, 1-%281%2F24%29t;
Amount of job still unfinished by Sammie, 1-%281%2F36%29t;

The question askes, when is SammieUndone=2*MaxineUndone, symbolically represented as highlight%281-%281%2F36%29t=2%281-%281%2F24%29t%29%29;
You want to solve this for highlight_green%28t%29.