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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...

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by BTGmoderatorLU » Fri Sep 11, 2020 5:38 am

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00:00

Answers

A

B

C

D

E

Stats

Difficulty—

Source: Magoosh

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

The OA is B
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Re: Jason can stack two shelves in 3 hours and Maria can stack three shelves in 2 hours. How long will it take them...

by dollydevashryee » Fri Sep 11, 2020 11:34 am
If Maria can stack 3 shelves in 2 hours, she can stack 4.5 shelves in 3 hours. In 3 hours, Jason and Maria can stack 6.5 shelves total. Therefore, it would take them 6 hours to stack 13 shelves. -> B
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Re: Jason can stack two shelves in 3 hours and Maria can stack three shelves in 2 hours. How long will it take them...

by gentvenus » Fri Sep 11, 2020 11:52 am
6 hours _> 13 shelves
Answer B
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Re: Jason can stack two shelves in 3 hours and Maria can stack three shelves in 2 hours. How long will it take them...

by Scott@TargetTestPrep » Tue Sep 15, 2020 4:43 am
BTGmoderatorLU wrote: ↑
Fri Sep 11, 2020 5:38 am
 Source: Magoosh

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

The OA is B
Solution:

The combined rate of Jason and Maria is 2/3 + 3/2 = 4/6 + 9/6 = 13/6.

Thus, it takes them 13/(13/6) = 13 x 6/13 = 6 hours to stack 13 shelves.

Answer: B

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