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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BTGmoderatorLU: Moderator; Posts: 2650; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

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

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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

Source: Beat The GMAT — Problem Solving | Fri Sep 11, 2020 5:38 am

dollydevashryee: Junior | Next Rank: 30 Posts; Posts: 11; Joined: Wed Jul 22, 2020 9:27 am

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

gentvenus: Senior | Next Rank: 100 Posts; Posts: 59; Joined: Tue Oct 01, 2019 5:49 am

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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