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18 May 2022, 06:15
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C
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Difficulty:
55%
(hard)
Question Stats:
71% (03:00) correct
29%
(03:05)
wrong
based on 85
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Two workers, A and B, completed a job in 10 days, but A did not work during the last 2 days. In the first 7 days they together completed 4/5 of the job. How long would A take to do the job alone?
A. 16 days
B. 15 days
C. 14 days
D. 13 days
D. 12 days
A. 16 days
B. 15 days
C. 14 days
D. 13 days
D. 12 days
26 May 2022, 02:15
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Bunuel
Two workers, A and B, completed a job in 10 days, but A did not work during the last 2 days. In the first 7 days they together completed 4/5 of the job. How long would A take to do the job alone?
A. 16 days
B. 15 days
C. 14 days
D. 13 days
D. 12 days
A. 16 days
B. 15 days
C. 14 days
D. 13 days
D. 12 days
Total \(10 \) days - in which \(8\) days were together and \(2\) days B worked alone
Given \(7\) days working together - \(\frac{4}{5} \) work done
\(1 \) day working together \(= \frac{4}{35}\) work done
in \(8\) days working together \(= \frac{4 *8 }{35}= \frac{32}{35} \)
Hence in Last two days ONLY B worked and completed remaining \(\frac{3}{35} \)
B will do whole work alone in \(= \frac{35 *2 }{3} = \frac{70}{3}\) days.
Hence B's rate \(= \frac{3}{70}\)
We know in \(7\) days \(\frac{4}{5} \) work was done :
This can be represented by:
Hence \(\frac{1}{A}+\frac{1}{B} = \frac{4}{35} \)
\(\frac{1}{A}+ \frac{3}{70}= \frac{4}{35}\)
\(\frac{1}{A} = \frac{4}{35} - \frac{3}{70}\)
\(\frac{1}{A}=\frac{1}{14}\)
\(A=14\)
Ans C
11 May 2024, 00:37
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