SOLUTION: One person takes 1.5 times as long to rake a lawn as a second person. The two people can rake the lawn together in 30 minutes. Find the time it takes the first person to rake the l
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-> SOLUTION: One person takes 1.5 times as long to rake a lawn as a second person. The two people can rake the lawn together in 30 minutes. Find the time it takes the first person to rake the l
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Question 813139: One person takes 1.5 times as long to rake a lawn as a second person. The two people can rake the lawn together in 30 minutes. Find the time it takes the first person to rake the lawn alone. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! One person takes 1.5 times as long to rake a lawn as a second person.
The two people can rake the lawn together in 30 minutes.
Find the time it takes the first person to rake the lawn alone.
:
let t = time required by the 2nd person to do the job
then
1.5t = time required by the 1st person
:
Let the completed job = 1, (a beautiful leaf-free lawn)
:
A shared work equation + = 1
multiply by 1.5t, results
1.5(30) + 30 = 1.5t
45 + 30 = 1.5t
75 = 1.5t, which is the 1st person's time to do it alone
75 minutes is the answer
