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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
If 12 men and 16 women can do a piece of work in 5 days and 13 men and
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11 Apr 2022, 03:34
11 Apr 2022, 03:34
Expert Reply
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Question Stats:
76% (03:24) correct
23% (02:20) wrong based on 13 sessions
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If 12 men and 16 women can do a piece of work in 5 days and 13 men and 24 women can do it in 4 days, how long will 7 men and 10 women take to do it?
(A) 4.2 days
(B) 6.8 days
(C) 8.3 days
(D) 9.8 days
(E) 10.2 days
(A) 4.2 days
(B) 6.8 days
(C) 8.3 days
(D) 9.8 days
(E) 10.2 days
Re: If 12 men and 16 women can do a piece of work in 5 days and 13 men and
[#permalink]
11 Apr 2022, 09:35
11 Apr 2022, 09:35
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Solution with explanation
It’s a time work based General and-and related math
Efficiency of Man and Women
(12M+16W)*5=(13M+24W)*4
60M+80W=52M+96W
8m=16W
M:W=2:1
Now, (12*2+16*1)*5=(7*2+10*1)*D
200=24D
D=8.333 (Answered)
It’s a time work based General and-and related math
Efficiency of Man and Women
(12M+16W)*5=(13M+24W)*4
60M+80W=52M+96W
8m=16W
M:W=2:1
Now, (12*2+16*1)*5=(7*2+10*1)*D
200=24D
D=8.333 (Answered)
General Discussion
Re: If 12 men and 16 women can do a piece of work in 5 days and 13 men and
[#permalink]
28 Jun 2024, 06:02
28 Jun 2024, 06:02
1
Alternatively
Let rate of one man be x and that of one woman be y
12x + 16y = 1/5...........1
13x + 24y = 1/4.............2
y = 1/200, x = 1/100
Let days required for 7 men and 10 women do job be d
0.12 = 1/d
d = 8.3333
Answer C
Adewale Fasipe, quant instructor from Lagos Nigeria.
Let rate of one man be x and that of one woman be y
12x + 16y = 1/5...........1
13x + 24y = 1/4.............2
y = 1/200, x = 1/100
Let days required for 7 men and 10 women do job be d
0.12 = 1/d
d = 8.3333
Answer C
Adewale Fasipe, quant instructor from Lagos Nigeria.
