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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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SVP
Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 2034
Location: Pakistan
GPA: 3.39
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, 09:27
1
00:00

Difficulty:

15% (low)

Question Stats:

96% (01:04) correct 4% (02:20) wrong based on 48 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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Last edited by SajjadAhmad on 05 Jan 2019, 09:27, edited 2 times in total.
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Joined: 01 May 2017
Posts: 69
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, 19:14
1
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
Director
Joined: 31 Oct 2013
Posts: 955
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
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, 17:55
1
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.

Re: If four men working at the same rate can do of a job in 40 minutes, ho &nbs [#permalink] 06 Jan 2019, 17:55
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