SOLUTION: By himself,Tim can complete his paper route in 120 minutes. With the help of Sue, it takes 90 minutes. How many minutes would it take Sue to do the route by herself?
Algebra ->
Rate-of-work-word-problems
-> SOLUTION: By himself,Tim can complete his paper route in 120 minutes. With the help of Sue, it takes 90 minutes. How many minutes would it take Sue to do the route by herself?
Log On
Question 561857: By himself,Tim can complete his paper route in 120 minutes. With the help of Sue, it takes 90 minutes. How many minutes would it take Sue to do the route by herself? Answer by ptaylor(2198) (Show Source):
You can put this solution on YOUR website! Let x=time it takes Sue to do the route by herself
Then Sue works at the rate of 1/x of the paper route per min
Tim works at the rate of 1/120 paper route per min
Tim and Sue works at the rate of 1/90 paper route per min
Sooooo our equation to solve is:
1/x + 1/120 =1/90 multiply each term by 360x
360+3x=4x
x=360 min---time it takes Sue to do the route by herself
CK
1/360+1/120=1/90
1/360+3/360=4/360
4/360=4/360
Hope this helps---ptaylor
