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# 13 men and 7 boys can finish a job in 7 days, while 6 boys

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Senior Manager
Joined: 14 Apr 2005
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Location: India, Chennai
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13 men and 7 boys can finish a job in 7 days, while 6 boys [#permalink]  05 Jan 2006, 03:23
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13 men and 7 boys can finish a job in 7 days, while 6 boys and 13 women can finish the same job in 6 days. In how many days can 1 man, 1 boy and 1 woman working together finish the same job?

(a) 42 (b) 54 (c) 21 (d) 63

Thanks
Sreeni
Director
Joined: 13 Nov 2003
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Kudos [?]: 27 [0], given: 0

13m+7b=7, 6b+13w=6 for 1 day first group will finish 1/7 and second 1/6 of the job. Then both groups together 13b+13m+13w will finish 1/7+1/6 or 13/42 of the job in one day or they will need 42/13 days. Since the question is about one b,m and w then multiply by 13 and get 42 days
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5078
Location: Singapore
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Kudos [?]: 184 [0], given: 0

13 men + 7 boys = 7 days to finish a job --> 1/7 job in one day

13 women + 6 boys = 6 days to finish a job --> 1/6 job in one day

Then 13 men + 13 women + 13 boys = 1/7 + 1/6 job in a day

1 men + 1 women + 1 boy = 13/42 * 1/13 = 1/42 job in a day

So to finish the job, it will take 42 days (A)
Senior Manager
Joined: 11 Nov 2005
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Location: London
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42 days

good question...
13/M + 7/B = 1/7
6/B + 13/W = 1/6

13/M +13/B +13/W = 1/7+1/6 =13/42

Divide both sides by 13,

1/M + 1/B + 1/W = 1/42

or 42 days for 1 M+1B+1W
Director
Joined: 04 Oct 2005
Posts: 587
Location: Chicago
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42 days

13M + 7B in 1 day do 1/7 work
6B + 13 W in 1 day do 1/6 work
13M +13B + 13W in 1 day do 1/7+1/6 work= 13/42 work
=>they complete the work in 42/13 days.
so 1M+1B+1W would complete it in 42/13*13=42 days
Senior Manager
Joined: 14 Apr 2005
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Location: India, Chennai
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Re: PS - Work / Job [#permalink]  08 Jan 2006, 20:42
krisrini wrote:
13 men and 7 boys can finish a job in 7 days, while 6 boys and 13 women can finish the same job in 6 days. In how many days can 1 man, 1 boy and 1 woman working together finish the same job?

(a) 42 (b) 54 (c) 21 (d) 63

Thanks
Sreeni

All of you are correct the OA is 42.
Re: PS - Work / Job   [#permalink] 08 Jan 2006, 20:42
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