SOLUTION: Please help me solve this Lisa can shovel snow in 45 minutes and Jim can shovel the same snow job in 65 minutes How long would it take for the snow job to be done if Lisa and Jim

Question 556974: Please help me solve this
Lisa can shovel snow in 45 minutes and Jim can shovel the same snow job in 65 minutes How long would it take for the snow job to be done if Lisa and Jim work together

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Lisa can shovel snow in 45 minutes and Jim can shovel the same snow job in 65 minutes
How long would it take for the snow job to be done if Lisa and Jim work together
:
let t = time required when working together
let the completed job = 1
:
A typical shared work equation
+ = 1
multiply by the least common multiple of 45 and 65, 585:
585* + 585* = 1(585)
Cancel the denominators and you have:
13t + 9t = 585
22t = 585
t = 585/22
t = 26.6 minutes working together
:
:
Let's check this:
26.6/45 + 26.6/65 =
.59 + .41 = 1
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