SOLUTION: Martha can rake the leaves in her yard in 2 hours. Her yonger brother can do the job in 3 hours. How long will it take them to do the job if thy work together? A)5/6hr B)6hr C

SOLUTION: Martha can rake the leaves in her yard in 2 hours. Her yonger brother can do the job in 3 hours. How long will it take them to do the job if thy work together? A)5/6hr B)6hr C

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Question 46021: Martha can rake the leaves in her yard in 2 hours. Her yonger brother can do the job in 3 hours. How long will it take them to do the job if thy work together?
A)5/6hr
B)6hr
C)3hr
D)6/5hr
and why?
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
Martha's Rate: 1/2
Martha's Brother's Rate: 1/3
Rate * Time = Work
t/2 + t/3 = 1
6t/2 + 6t/3 = 6
3t + 2t = 6
5t = 6
t = 6/5
(D)
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