Jane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks. If they both work

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Sat Feb 13, 2021 5:28 pm

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Jane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks. If they both work together, how many weeks will it take for them to produce 15 handcrafted drums?

A. 30
B. 36
C. 70
D. 80
E. 150

OA B

Source: Magoosh

Source: Beat The GMAT — Problem Solving | Sat Feb 13, 2021 5:28 pm

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Re: Jane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks. If they both work

by Scott@TargetTestPrep » Tue Feb 23, 2021 3:36 pm

BTGmoderatorDC wrote: ↑
Sat Feb 13, 2021 5:28 pm
Jane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks. If they both work together, how many weeks will it take for them to produce 15 handcrafted drums?

A. 30
B. 36
C. 70
D. 80
E. 150

OA B

Solution:

In 12 weeks, Jane can make 12/4 = 3 drums and Zane can make 12/6 = 2 drums. Therefore, when they are working together, they can make 3 + 2 = 5 drums in 12 weeks and hence, to produce 15 drums, it will take them 12 x (15/5) = 12 x 3 = 36 weeks.

Answer: B

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