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13 Apr 2018, 02:45
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
91% (01:06) correct
9%
(01:44)
wrong
based on 270
sessions
History
Date
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Not Attempted Yet
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
A. 6/5
B. 2
C. 12/5
D. 3
E. 4
13 Apr 2018, 04:23
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Bunuel
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.
13 Apr 2018, 08:47
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Bunuel
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
Answer E
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
Answer E
