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1 man and 2 women can complete a work in 10 days. 2 men and 3 women ca

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 61549
1 man and 2 women can complete a work in 10 days. 2 men and 3 women ca  [#permalink]

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New post 10 Jan 2020, 01:32
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

69% (01:56) correct 31% (02:47) wrong based on 13 sessions

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Joined: 20 Jul 2017
Posts: 1337
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
Re: 1 man and 2 women can complete a work in 10 days. 2 men and 3 women ca  [#permalink]

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New post 10 Jan 2020, 01:59
Bunuel wrote:
1 man and 2 women can complete a work in 10 days. 2 men and 3 women can complete the work in 6 days. Find the number of days needed by 4 men and 4 women to complete the work.

A. 5
B. 15/4
C. 3
D. 5/2
E. 15/7


Given, 1/m + 2/w = 1/10 ....... (1) &
2/m + 3/w = 1/6 ....... (2)

2*(1) - (2) --> 2(1/m + 2/w) - (2/m + 3/w) = 2/10 - 1/6
--> 4/w - 3/w = 1/5 - 1/6 = (6 - 5)/30
--> 1/w = 1/30
--> w = 30 days

From (1), 1/m + 2/30 = 1/10
--> 1/m = 1/10 - 1/15 = (3 - 2)/30 = 1/30
--> m = 30 days

--> For 4 men & 4 women = 4/m + 4/w = 4/30 + 4/30 = 8/30
Number of days needed = 30/8 = 15/4

IMO Option B
GMAT Club Bot
Re: 1 man and 2 women can complete a work in 10 days. 2 men and 3 women ca   [#permalink] 10 Jan 2020, 01:59
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