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28 votes
5. Jane can paint the office by herself in 7 hours. Working with an associate, she can paint theoffice in 3 hours. How long would it take her associate to do it working alone?

User Pxb
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1 Answer

19 votes
19 votes

EXPLANATION

Let's see the facts:

Jane paints in ----------> 7 hours

In 7 hours, Jane paints an office. She finishes 1/7 of the mission in 1 hour.

The job of Associate is done in 3 hours: Jane does 3/7 of the assignment and Associate does 4/7 of the assignment in 3 hours.

Jane + partner paints in -----> 3 hours

In 3 hours, the partner alone performs 4/7 of the work, and

In x Hours, does 3/7.

In order to calculate the associate's paint time, we need to determine the proportion:

x*4/7 = 3*3/7 --> x*4/7 = 9/7

Isolating x:

x= (7/4)* 9/7 = 9/4 = 2 hours and 15 minutes.

Answer: The associate's cumulative time alone: 3 hours + 2 hours and 15 minutes = 5 hours + 15 minutes.

User Mehul Mali
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