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# 3 identical machines can produce 2x in 4 days. How many such

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Senior Manager
Joined: 08 Aug 2005
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3 identical machines can produce 2x in 4 days. How many such [#permalink]  06 May 2006, 03:28
3 identical machines can produce 2x in 4 days. How many such machines can produce 4x in 3 days?
Manager
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2x produced in 4 days by 3 machines
4xproduced in 4 days by 6 machines
4xproduced in 1days by 6*4 machines
4xproduced in 3days by (6*4)/3 machines =8 machines

Ans 8 machines
Manager
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this one confuses me.
Red Wings - how did you come up with that formulation?
Director
Joined: 16 Aug 2005
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3 machines can produce 2x in 4 days
In 1 day they produce x/2
Then 1 machine can produce x/6 in 1 day
in 3 days, production = x/2
to produce 4x, 8 machines are required.
Intern
Joined: 04 May 2006
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I Solve such questions using this technique: - (Initially I convert the questions for 1 machine or 1worker etc.)
If 1 machine works, It produces 2x in 4*3 = 12 days.

So for 2x it takes No. of days = 12
for 4x it takes No. of days = 24.

it finishes in 24 days, then machine required = 1
if it finishes in 3 days, then machine required = 24/3 = 8 machines.

Always works this way.
_________________

If A equals success, then the formula is: A = X + Y + Z, X is work. Y is play. Z is keep your mouth shut.
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Intern
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(3*4)/2x = (y*3)/4x where y is the no. of machines

=> y=8(ANS)
VP
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Re: Work done by identical machines [#permalink]  19 May 2006, 08:54
getzgetzu wrote:
3 identical machines can produce 2x in 4 days. How many such machines can produce 4x in 3 days?

= 3 (4x/2x) (4/3)
= 8 machines
SVP
Joined: 01 May 2006
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8 machines as well.

My way is to feel that there is proportionnal rule between the number of machines working together and the rate of production.

So,
3 machines <=> 2x / 4 days
m machines <=> 4x / 3 days

Thus, m = 3 * (4x/3) / (2x/4) = 8
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