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# Working simultaneously and independently at an identical

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Intern
Joined: 10 Aug 2007
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Working simultaneously and independently at an identical [#permalink]  30 Oct 2007, 05:24
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Working simultaneously and independently at an identical constant rate, 4 machines of a certain type can produce a total of x units of product P in 6 days. How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 3x units of product P in 4 days?

A. 24
B. 18
C. 16
D. 12
E. 8
Manager
Joined: 25 Jul 2007
Posts: 108
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In all work problems, i prefer to get an equation for work done per day per machine(or human)....
in this case...in 6 days, 4 machines produce x units....
therefore in 1 day, 4 machines produce (x/6) units..
therefore in 1 day, 1 machine produces (x/24) units....

now to produce 3x machines in 4 days, you need to produce (3x/4) per day...

therefore (number of machines required) * (units produced per machine per day) = (3x/4)..

therefore...number of machines required =(3x/4) / (x/24)=18....

hope this helps....good luck...
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