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

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Bunuel
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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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B
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Rajneesh Garg
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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
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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 = (23∗32)/(23+32)

= 613 hours

Now to stack 13 shelves = 613∗13 = 6 Hours
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Re: Jason can stack two shelves in 3 hours and Maria can stack [#permalink] New post   27 Mar 2024, 10:42
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: Jason can stack two shelves in 3 hours and Maria can stack [#permalink]
27 Mar 2024, 10:42
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