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

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New post Updated on: 05 Jan 2019, 09:27
1
00:00
A
B
C
D
E

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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Originally posted by SajjadAhmad on 05 Jan 2019, 09:23.
Last edited by SajjadAhmad on 05 Jan 2019, 09:27, edited 2 times in total.
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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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New post 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
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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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New post 06 Jan 2019, 17:55
1
SajjadAhmad wrote:
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.
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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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If four men working at the same rate can do of a job in 40 minutes, ho

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