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# If four men working at the same rate can do of a job in 40 minutes, ho

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Joined: 02 Nov 2016
Posts: 3459
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If four men working at the same rate can do of a job in 40 minutes, ho  [#permalink]

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Updated on: 05 Jan 2019, 10:27
1
1
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Difficulty:

15% (low)

Question Stats:

87% (01:41) correct 13% (02:02) wrong based on 64 sessions

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If four men working at the same rate can do $$\frac{2}{3}$$ of a job in 40 minutes, how many minutes would it take one man working at this rate to do $$\frac{2}{5}$$ of the job?

A. 80
B. 88
C. 92
D. 96
E. 112

Source: Kaplan GMAT Math Workbook - Sixth Edition
Page# 303

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Originally posted by SajjadAhmad on 05 Jan 2019, 10:23.
Last edited by SajjadAhmad on 05 Jan 2019, 10:27, edited 2 times in total.
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Joined: 01 May 2017
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Location: India
If four men working at the same rate can do of a job in 40 minutes, ho  [#permalink]

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05 Jan 2019, 20:14
2
If four men working at the same rate can do 2/3 of a job in 40 minutes, how many minutes would it take one man working at this rate to do 2/5 of the job?

Four men can do a job in 40 min
1 man's can same work in 40*4 = 160 min
Amount of work = 2/3

Same amount of work can be done by one man in how many min's?
Amount of work= 2/5

work
2/3 ----------------------- 160 min
2/5 ------------------------ ? min (let it be x min)

$$x = ((2/5)*160)/(2/3) = 96 min$$

Option D is correct
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Joined: 31 Oct 2013
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Re: If four men working at the same rate can do of a job in 40 minutes, ho  [#permalink]

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06 Jan 2019, 18:55
2
If four men working at the same rate can do $$\frac{2}{3}$$ of a job in 40 minutes, how many minutes would it take one man working at this rate to do $$\frac{2}{5}$$ of the job?

A. 80
B. 88
C. 92
D. 96
E. 112

Source: Kaplan GMAT Math Workbook - Sixth Edition
Page# 303

There is a perfect formula for this kinda question.

No. of workers * Rate* Time = work

4*R*40 = 2/3

Rate = 1/240.

Now we have only 1 man and need to do 2/5 of the work.

1* 1/240 * Time = 2/5

Time = 240*2/5

Time = 96 mins.

D is the correct answer.
Re: If four men working at the same rate can do of a job in 40 minutes, ho   [#permalink] 06 Jan 2019, 18:55
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# If four men working at the same rate can do of a job in 40 minutes, ho

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