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Jason can stack two shelves in 3 hours and Maria can stack

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Jason can stack two shelves in 3 hours and Maria can stack [#permalink] New post 12 Oct 2017, 20:42
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Jason can stack two shelves in 3 hours and Maria can stack three shelves in 2 hours. How long will it take them together, working at a constant rate, to stack thirteen shelves?

A. 5 hours
B. 6 hours
C. 6.5 hours
D. 11 hours
E. 12 hours

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[Reveal] Spoiler: OA
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Re: Jason can stack two shelves in 3 hours and Maria can stack [#permalink] New post 13 Oct 2017, 05:36
First we need to combine both

LCM of 3 and 2 is 6
in 6 hrs jason stack 4 and maria 9 selves

so in 6 hrs both stack 13 selves (B)
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Re: Jason can stack two shelves in 3 hours and Maria can stack [#permalink] New post 13 Oct 2017, 06:23
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Bunuel wrote:
Jason can stack two shelves in 3 hours and Maria can stack three shelves in 2 hours. How long will it take them together, working at a constant rate, to stack thirteen shelves?

A. 5 hours
B. 6 hours
C. 6.5 hours
D. 11 hours
E. 12 hours

Kudos for correct solution.


Jason stack one shelve = 3/2 hours

Maria stack one shelve = 2/3 hours

Working together they stack one shelve = \((\frac{2}{3} *\frac{3}{2})/(\frac{2}{3} +\frac{3}{2})\)

= \(\frac{6}{13}\) hours

Now to stack 13 shelves = \(\frac{6}{13}*13\) = 6 Hours
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Re: Jason can stack two shelves in 3 hours and Maria can stack   [#permalink] 13 Oct 2017, 06:23
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Jason can stack two shelves in 3 hours and Maria can stack

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