SOLUTION: Jim and Shirley, working together, can rake the yard in 3 hours. Working alone, Shirley takes three times as long as Jim. How long does it take Jim to rake the yard alone?
Question 996414: Jim and Shirley, working together, can rake the yard in 3 hours. Working alone, Shirley takes three times as long as Jim. How long does it take Jim to rake the yard alone? Found 2 solutions by lwsshak3, josgarithmetic:Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website! Jim and Shirley, working together, can rake the yard in 3 hours. Working alone, Shirley takes three times as long as Jim. How long does it take Jim to rake the yard alone?
let x=time it takes jim to rake the yard alone
1/x=his work rate
let x=time it takes Shirley to rake the yard alone
1/3x=her work rate
sum of indv. work rates=work rate working together
1/x+1/3x=1/3
lcd:3x
3+1=x
x=4
time it takes jim to rake the yard alone=4 hrs Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
JIM SHIRLEY TOGETHER
RATE 1/t 1/(3t) 1/3
Rate for Jim and Shirley together is the sum of their individual rates.
Solve for t.