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05 Jun 2012, 10:02
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
82% (02:23) correct
18%
(03:00)
wrong
based on 495
sessions
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Four carpenters can individually complete a particular task in 3, 4, 5, and 7 hours, respectively. What is the maximum fraction of the task that can be completed in forty-five minutes if three of the carpenters work together at their respective rates ?
A. 11/15
B. 3/5
C. 11/30
D. 47/80
E. 5/9
A. 11/15
B. 3/5
C. 11/30
D. 47/80
E. 5/9
05 Jun 2012, 10:21
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shradhagrover18
In order three of the carpenters to complete the maximum fraction of the task we should select three fastest carpenters. So, those three who complete the task in 3, 4, and 5 hours.
In 1 hour they will complete \(\frac{1}{3}+\frac{1}{4}+\frac{1}{5}=\frac{47}{60}\)th of the task. So, in \(\frac{3}{4}\) hour (45 minutes) they will complete \(\frac{47}{60}*\frac{3}{4}=\frac{47}{80}\)th of the job.
Answer: D.
Hope it's clear.
