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If Max can complete a job in 4 hours and Nick can complete the same jo

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If Max can complete a job in 4 hours and Nick can complete the same jo [#permalink]

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New post 05 May 2017, 10:54
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Question Stats:

88% (00:56) correct 12% (01:00) wrong based on 17 sessions

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If Max can complete a job in 4 hours and Nick can complete the same job in 6 hours, how many fewer hours do Max and Nick working together need to complete the job than Max alone needs to complete the job?

A. 1.6
B. 2.4
C. 3.2
D. 3.4
E. 5.0
[Reveal] Spoiler: OA

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Re: If Max can complete a job in 4 hours and Nick can complete the same jo [#permalink]

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New post 05 May 2017, 11:04
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Assume 24 units of work
Max does it in 4 hours, hence his rate of work is 6 units/hr
Nick does it in 6 hours, hence his rate of work is 10 units/hr

Together ,they do 10 units of work. Hence it would take them 2.4 hours to complete the work, which is 1.6 hours less than Max takes to finish the work(Option A)

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Re: If Max can complete a job in 4 hours and Nick can complete the same jo [#permalink]

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New post 05 May 2017, 11:04
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SajjadAhmad wrote:
If Max can complete a job in 4 hours and Nick can complete the same job in 6 hours, how many fewer hours do Max and Nick working together need to complete the job than Max alone needs to complete the job?

A. 1.6
B. 2.4
C. 3.2
D. 3.4
E. 5.0


IMO, (A) is the answer.

Max can complete a job in 4 hours.
Nick can complete the same job in 6 hours.
Therefore, working together Max and Nick can complete the job in \(\frac{6*4}{6+4}\) = 2.4 hours
Thus, working together they need 4-2.4 = 1.6 fewer hours than Max alone to complete the job.

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Re: If Max can complete a job in 4 hours and Nick can complete the same jo [#permalink]

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New post 05 May 2017, 11:07
SajjadAhmad wrote:
If Max can complete a job in 4 hours and Nick can complete the same job in 6 hours, how many fewer hours do Max and Nick working together need to complete the job than Max alone needs to complete the job?

A. 1.6
B. 2.4
C. 3.2
D. 3.4
E. 5.0


Let the total work be 12 units..

Max's efficiency = 3 units/hr
Nick's efficiency = 2 units/hr

Combined efficiency = 5 units/hr

Quote:
how many fewer hours do Max and Nick working together need to complete the job than Max alone needs to complete the job


Combined time taken = 12/5 => 2.4 Hrs

Time taken by Max = 12/3 => 4 Hrs

So, Max and Nick can complete the work in 1.6 Hours less, answer will be (A)
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Re: If Max can complete a job in 4 hours and Nick can complete the same jo [#permalink]

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New post 05 May 2017, 11:08
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SajjadAhmad wrote:
If Max can complete a job in 4 hours and Nick can complete the same job in 6 hours, how many fewer hours do Max and Nick working together need to complete the job than Max alone needs to complete the job?

A. 1.6
B. 2.4
C. 3.2
D. 3.4
E. 5.0



Max

\(\frac{1}{4}\) job an hour

Nick

\(\frac{1}{6}\) job an hour

Together

\(\frac{2}{12}\) + \(\frac{3}{12}\) = \(\frac{5}{12}\) job an hour or 2\(\frac{2}{5}\) hours for the job.

4 - 2.4 = 1.6
Re: If Max can complete a job in 4 hours and Nick can complete the same jo   [#permalink] 05 May 2017, 11:08
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