GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2932
Given Kudos: 1277
GPA: 3.39
If 12 men and 16 women can do a piece of work in 5 days and 13 men and
[#permalink]
11 Apr 2022, 03:34
11 Apr 2022, 03:34
Expert Reply
3
Bookmarks
00:00
Question Stats:
80% (03:37) correct
20% (02:20) wrong based on 15 sessions
Hide Show timer Statistics
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
4
1
Bookmarks
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
2
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.
