SOLUTION: Working together Miles and Maya can cut and trim a lawn in two hours. If it takes Miles five hours to do the lawn himself, how long would it take Maya to do the lawn by herself?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Working together Miles and Maya can cut and trim a lawn in two hours. If it takes Miles five hours to do the lawn himself, how long would it take Maya to do the lawn by herself?      Log On


   

Question 155435This question is from textbook Algebra and Trigonometry
: Working together Miles and Maya can cut and trim a lawn in two hours. If it takes Miles five hours to do the lawn himself, how long would it take Maya to do the lawn by herself? This question is from textbook Algebra and Trigonometry

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Working together Miles and Maya can cut and trim a lawn in two hours. If it takes Miles five hours to do the lawn himself, how long would it take Maya to do the lawn by herself?
:
Let x = time required when Maya works alone
:
Let the completed job = 1:
:
2%2F5 + 2%2Fx = 1
:
mult equation by 5x to get rid of the denominators, results
2x + 5(2) = 5x
:
10 = 5x - 2x
:
3x = 10
x = 10%2F3
x = 31%2F3 hrs, Maya working alone
;
:
Check solution on a calc: enter (2/5) + (2/3.33) = 1.000 confirms our solution