Work problem

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Work problem

by bobdylan » Wed Jun 06, 2012 5:11 am
Working alone, printing presses A,B and C can fill the daily allotment of newspapers in 8,10, and 12 hours, respectively. What is the ratio of the time it takes press A to fill the allotment working alone to the time it takes presses B and C to fill the allotment together at their respective rates?

a) 11:4
b) 22:15
c) 15:22
d) 4:11
e)1:11
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by Ashujain » Wed Jun 06, 2012 5:39 am
bobdylan wrote:Working alone, printing presses A,B and C can fill the daily allotment of newspapers in 8,10, and 12 hours, respectively. What is the ratio of the time it takes press A to fill the allotment working alone to the time it takes presses B and C to fill the allotment together at their respective rates?

a) 11:4
b) 22:15
c) 15:22
d) 4:11
e)1:11
Time taken by B and C working simultaneously = 1/(1/B+1/C) = 1/(1/10+1/12) = 60/11

Therefore, 8*11/60 = 22/15

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by GMATGuruNY » Wed Jun 06, 2012 6:38 am
bobdylan wrote:Working alone, printing presses A,B and C can fill the daily allotment of newspapers in 8,10, and 12 hours, respectively. What is the ratio of the time it takes press A to fill the allotment working alone to the time it takes presses B and C to fill the allotment together at their respective rates?

a) 11:4
b) 22:15
c) 15:22
d) 4:11
e)1:11
Let the allotment = 60 units.
Rate for B alone = 60/10 = 6 units per hour.
Rate for C alone = 60/12 = 5 units per hour.
Combined rate for B+C = 6+5 = 11 units per hour.
Time for B+C together = 60/11.
(time for A)/(time for B+C) = 8/(60/11) = 88/60 = 22/15.

The correct answer is B.
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