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

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
RELATED QUESTIONS
George can rake a lawn in 5 hours. George and Juan together can rake the lawn in 2 hours. (answered by nerdybill)

George can rake a lawn in 5 hours. George and Juan together can rake the lawn in 2 hours. (answered by richwmiller)

Suppose one person can mow a lawn in x hours and a second person can mow the same lawn in (answered by richwmiller)

I have another question - Bert and Ernie working together can rake a lawn in 3 hours.... (answered by josmiceli)

Working together, two people can mow a large lawn in 4 hours. One person can do the job... (answered by ankor@dixie-net.com)

jake can rake the lawn in 2hrs 22mintues.Jill can rake the same lawn 27 mintues quicker... (answered by oberobic)

Joe and Mary working together can rake a lawn in 2 hours. Joe can do the job alone in 3... (answered by stanbon)

Working together, two people can cut a large lawn in 5 hr. One person can do the job... (answered by JulietG)

Working together, two people can cut a large lawn in 5 hr. One person can do the... (answered by josmiceli)