## A 2 Part question on Time and Work

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### A 2 Part question on Time and Work

by e-GMAT » Tue Jan 01, 2013 9:29 pm
Hello Friends,

Please try this 2 part question.

A, B, & C can do the same job in 8, 24, & 48 hours respectively working individually. It was decided that each of them will work on this job alternatively for an hour. They can start the work in any order. Select 'Minimum hours', & 'Maximum hours' required to complete the job in the table. Make only two selections, one in each column.

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by [email protected] » Fri Jan 04, 2013 2:53 pm
Nice question... Just a hint for those trying:

1/8 + 1/24 + 1/48 + 1/8 + 1/24 ...... keep up this sequence to find the fastest.
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-- 100% Free Trial and less than $20 per month after. -- Free GMAT Quantitative Review MBA Admissions Consultant Posts: 2278 Joined: 11 Nov 2011 Location: New York Thanked: 660 times Followed by:266 members GMAT Score:770 by [email protected] » Fri Jan 04, 2013 2:53 pm The answer is when the sequent equals 1.... GMAT Answers provides a world class adaptive learning platform. -- Push button course navigation to simplify planning -- Daily assignments to fit your exam timeline -- Organized review that is tailored based on your abiility -- 1,000s of unique GMAT questions -- 100s of handwritten 'digital flip books' for OG questions -- 100% Free Trial and less than$20 per month after.
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by BTG14 » Tue Jan 15, 2013 11:19 pm
Step 1: in three hours : (1/8 + 1/24+ 1/48)=9/48.
Step 2: in (3*5) hours : 9*5/48=45/48. will be completed.

Now to be minimum let 45/48+1/8 which is more than 1. So the answer lies between 15 and 16.

Now to be maximum 45/48+1/48+1/24=1 which is 17 hours.

Answer will be : Minimum:15.5
Maximum 17 hours

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