SOLUTION: Maria can shovel her driveway in 65 minutes. Bill can do the same job in 40 minutes. How long would it take Maria and Bill to shovel the driveway if they worked together?

Question 621419: Maria can shovel her driveway in 65 minutes. Bill can do the same job in 40 minutes. How long would it take Maria and Bill to shovel the driveway if they worked together?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Maria can shovel her driveway in 65 minutes. Bill can do the same job in 40 minutes. How long would it take Maria and Bill to shovel the driveway if they worked together?
.
Let x = time (minutes) it takes for both
then
x(1/65 + 1/40) = 1
multiply both sides by (65)(40):
x(40 + 65) = (65)(40)
x(105) = 2600
x = 2600/105
x = 24.76 minutes
or rounding:
x = 25 minutes

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