It takes machine A x hours to manufacture a deck of cards : PS Archive
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# It takes machine A x hours to manufacture a deck of cards

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It takes machine A x hours to manufacture a deck of cards [#permalink]

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09 Nov 2006, 20:47
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It takes machine A x hours to manufacture a deck of cards that machine B can manufacture in 1/x hours. If machine A operates alone for y hours and is then joined by machine B until 100 decks are finished, in terms of x and y, for how long will the two machines operate simultaneously?

Anybody??
VP
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09 Nov 2006, 20:53
GMATT73 wrote:
It takes machine A x hours to manufacture a deck of cards that machine B can manufacture in 1/x hours. If machine A operates alone for y hours and is then joined by machine B until 100 decks are finished, in terms of x and y, for how long will the two machines operate simultaneously?

Anybody??

(100x-y)(x^2+1)/x^2

i ll explain if this is right...
VP
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10 Nov 2006, 03:39
tennis_ball wrote:
(100x - y)/(x^2 + 1)

I got the same anwer..

A takes x hours/deck
B takes 1/x hours/deck

in 1 hour, A completes 1/x decks
in 1 hour, B completes x decks
in 1 hour, A+B complete (1+x^2)/x decks

number of decks completed by A in y hours = y/x
number of decks left by the time B joined A = 100 - y/x = (100x-y)/x

Number of hours A and B worked together = ((100x-y)/x)/((1+x^2)/x)

= (100x-y)/(1+x^2)
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10 Nov 2006, 03:39
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