SOLUTION: Could someone shoe me how to sovle this word problem? Please. Sue can shovel snow from her driveway in 65min. Bill can do the job in 50min. How long would it take sue and Bill to

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Question 154379: Could someone shoe me how to sovle this word problem? Please.
Sue can shovel snow from her driveway in 65min. Bill can do the job in 50min. How long would it take sue and Bill to shovel the same driveway together?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Sue can shovel snow from her driveway in 65min. Bill can do the job in 50min. How long would it take sue and Bill to shovel the same driveway together?
:
Let = time required, working together (in minutes)
:
Let the completed job = 1 (Provided they each have a shovel)
:
Each will do a fraction of the job which will add up to 1:
:
t%2F65 + t%2F50 = 1
;
Multiply equation by a common denominator 65*50; resulting in:
50t + 65t = 65*50
;
115t = 3250
t = 3250%2F115
t = 28.26 minutes working together
:
:
Check solution using a calc: enter
(28.26/65) + (28.26/50) = .99997 ~ 1