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# Painting at a constant rate, Lauren completes 3/5 of a job in 6 hours.

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Math Expert
Joined: 02 Sep 2009
Posts: 44598
Painting at a constant rate, Lauren completes 3/5 of a job in 6 hours. [#permalink]

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13 Apr 2018, 02:45
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95% (00:46) correct 5% (01:12) wrong based on 42 sessions

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Painting at a constant rate, Lauren completes 3/5 of a job in 6 hours. How many hours will it take her to complete the job if she continues at the same rate?

A. 6/5

B. 2

C. 12/5

D. 3

E. 4
[Reveal] Spoiler: OA

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Painting at a constant rate, Lauren completes 3/5 of a job in 6 hours. [#permalink]

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13 Apr 2018, 04:23
Bunuel wrote:
Painting at a constant rate, Lauren completes 3/5 of a job in 6 hours. How many hours will it take her to complete the job if she continues at the same rate?

A. 6/5

B. 2

C. 12/5

D. 3

E. 4

Lauren completes 3/5 of the job in 6 hours. Therefore, it takes 6/3 = 2 hours to complete 1/5 of the job.

The fraction of the job remaining to be done is 2/5. Therefore the hours required will be 2*2 = 4 hours. Since 2/5 is 2*(1/5).

Hence option E = 4 hours is the answer.

Give me +1 Kudos if you like the explanation. Thanks.
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Give me +1 Kudos if you like the explanation. Thanks a lot!!!

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Painting at a constant rate, Lauren completes 3/5 of a job in 6 hours. [#permalink]

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13 Apr 2018, 08:47
1
KUDOS
Bunuel wrote:
Painting at a constant rate, Lauren completes 3/5 of a job in 6 hours. How many hours will it take her to complete the job if she continues at the same rate?

A. 6/5

B. 2

C. 12/5

D. 3

E. 4

Proportion
If it takes 6 hours to finish 3/5 of work, it will take T (?) hours to finish 2/5 of work remaining
Set up a proportion:

$$\frac{(\frac{3}{5})}{6}=\frac{(\frac{2}{5})}{T}$$

$$\frac{12}{5}=\frac{3}{5}T$$

$$T = 4$$
hours remain

Work formula- harder, but... $$\frac{2}{5}job, j$$ remains

Using (R*T = W), find "effective" work rate.
Rate is not $$\frac{3}{5}$$. WORK = $$\frac{3}{5}j$$

Effective (real) work rate:$$R=\frac{W}{T}$$

$$Rate=\frac{\frac{3}{5}j}{6hrs}=\frac{3j}{30hrs}=\frac{1j}{10hrs}$$

$$T=\frac{W}{R}=\frac{\frac{2}{5}}{\frac{1}{10}}=(\frac{2}{5}*\frac{10}{1})=4$$
hours

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Painting at a constant rate, Lauren completes 3/5 of a job in 6 hours. [#permalink]

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13 Apr 2018, 12:26
Bunuel wrote:
Painting at a constant rate, Lauren completes 3/5 of a job in 6 hours. How many hours will it take her to complete the job if she continues at the same rate?

A. 6/5

B. 2

C. 12/5

D. 3

E. 4

Given:
1. $$\frac{3}{5}$$ or 60% of the work is completed in 6 hours.
2. Work happens at a constant rate

Therefore, the remainder of the work(which is 40%) will take 4 hours(Option E)
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Joined: 31 May 2017
Posts: 154
Painting at a constant rate, Lauren completes 3/5 of a job in 6 hours. [#permalink]

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13 Apr 2018, 22:56
If 60% of the job is completed in 6 hours and rate of work remains constant, then 100% of the job will be completed in 10 hours i.e in another 4 hours.

Ans: 4 [Option E]
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Re: Painting at a constant rate, Lauren completes 3/5 of a job in 6 hours. [#permalink]

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19 Apr 2018, 14:46
Bunuel wrote:
Painting at a constant rate, Lauren completes 3/5 of a job in 6 hours. How many hours will it take her to complete the job if she continues at the same rate?

A. 6/5

B. 2

C. 12/5

D. 3

E. 4

we are asked to find out the no. of hours to complete the remaining work.
If 3/5 of a job is done Remaining job = 1-(3/5)
=2/5...........Remaining portion of the work.

It is given in the question that it takes 6 hours to complete the 3/5 of job
So we can form an equation: (3/5)*x=6.....
x= 10 hours.

so entire job needs 10 hours. So, (2/5)*10 needs 4 hours.

Thus the correct answer is E.
Re: Painting at a constant rate, Lauren completes 3/5 of a job in 6 hours.   [#permalink] 19 Apr 2018, 14:46
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