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# If it takes 15 more men to build a house in 1 day than it takes to bui

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Math Expert
Joined: 02 Sep 2009
Posts: 52297
If it takes 15 more men to build a house in 1 day than it takes to bui  [#permalink]

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27 Apr 2017, 01:28
00:00

Difficulty:

35% (medium)

Question Stats:

67% (01:36) correct 33% (01:48) wrong based on 136 sessions

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If it takes 15 more men to build a house in 1 day than it takes to build it in 4 days, how many men does it take to build the house in one day?

A. 5
B. 10
C. 15
D. 20
E. 30

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Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3334
Location: India
GPA: 3.12
Re: If it takes 15 more men to build a house in 1 day than it takes to bui  [#permalink]

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27 Apr 2017, 02:08
2
2
Let the number of men working to build the house in 4 days be x
Since it takes 15 more men to build the house in 1 day
(x+15)*1 = x*4
Solving for x, x=5

Hence it will take 20 men to build the house in 1 day(Option D)
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Director
Joined: 23 Jan 2013
Posts: 559
Schools: Cambridge'16
Re: If it takes 15 more men to build a house in 1 day than it takes to bui  [#permalink]

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30 Apr 2018, 06:46
1/4=x
1=x+15

1/4(x+15)=x
x=5 is number of people who do work in 4 days

D
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Joined: 07 Dec 2014
Posts: 1152
If it takes 15 more men to build a house in 1 day than it takes to bui  [#permalink]

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30 Apr 2018, 09:53
Bunuel wrote:
If it takes 15 more men to build a house in 1 day than it takes to build it in 4 days, how many men does it take to build the house in one day?

A. 5
B. 10
C. 15
D. 20
E. 30

let 1/4x=individual daily rate for each of x men working on 4 day house
1/4x*(x+15)=1
x=5
x+15=20
D
If it takes 15 more men to build a house in 1 day than it takes to bui &nbs [#permalink] 30 Apr 2018, 09:53
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