SOLUTION: Lisa can shovel snow from her driveway in 35 minutes. Tom can do the same job in 55 minutes. How long would it take Lisa and Tom to shovel the driveway if they worked together?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Lisa can shovel snow from her driveway in 35 minutes. Tom can do the same job in 55 minutes. How long would it take Lisa and Tom to shovel the driveway if they worked together?       Log On


   

Question 339137: Lisa can shovel snow from her driveway in 35 minutes. Tom can do the same job in 55 minutes. How long would it take Lisa and Tom to shovel the driveway if they worked together?



Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Lisa can shovel snow from her driveway in 35 minutes. Tom can do the same job in 55 minutes. How long would it take Lisa and Tom to shovel the driveway if they worked together?
.
Let x = minutes if they worked together
then
x(1/35 + 1/55) = 1
Multiplying both sides by 35*55:
x(55 + 35) = 35*55
x(90) = 35*55
x = 1925/90
x = 21.39 minutes