SOLUTION: it takes steven four times as long to cut the lawn as it does andrew. working together it takes them 2 hours to cut the lawn. how long will it take steven to cut the lawn alone?

Question 464281: it takes steven four times as long to cut the lawn as it does andrew. working together it takes them 2 hours to cut the lawn. how long will it take steven to cut the lawn alone?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
it takes Steven four times as long to cut the lawn as it does Andrew.
Working together it takes them 2 hours to cut the lawn.
How long will it take Steven to cut the lawn alone?
:
Let t = time required by Andrew to cut the lawn
It says,"it takes Steven four times as long to cut the lawn as it does Andrew.", therefore:
4t = time required by Steven to cut the lasw
Let the completed job = 1; (a cut lawn)
:
Write a shared work equation
Each man will do a fraction of the lawn, the two fractions add up to 1
+ = 1
Multiply by 4t. results:
4(2) + 2 = 4t
10 = 4t
t =
t = 2.5 hrs, Andrew by himself
then
4(2.5) = 10 hrs for Steven to cut the lawn alone

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