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

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Intern
Joined: 22 Sep 2004
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3 identical machines can produce 2x in 4 days. How many such [#permalink]  23 Mar 2005, 11:05
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3 identical machines can produce 2x in 4 days. How many such machines can produce 4x in 3 days?
Senior Manager
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Re: PS Rate [#permalink]  23 Mar 2005, 11:22
ttar wrote:
3 identical machines can produce 2x in 4 days. How many such machines can produce 4x in 3 days?

12 machine days produces 2x.
For producing 4x need 24 machine days.
With 3 days available, machines needed = 8.
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Intern
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Sorry guys for my extreme aloofness (not sure if that's an actual work but it's very apt for the situation) but can someone elaborate a little bit more?

Cheers!
Director
Joined: 27 Dec 2004
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Chairman Jo, here is my reasoning

Well if 3 machines can do 2x in 4 days, then
3 machines = 2x/4 = 12 = 2x = x= 6 per day.
Then how many machines can do 4x/3 ?
Plug in x = 6 (since machines are identical)
4(6)/3 = 24/3 = 8
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Re: PS Rate [#permalink]  28 Mar 2005, 22:34
3 machines can produce 2x in 4 days. Then 4 machines can produce 2x in 3 days. Therefore 8 machines can produce 4x in 3 days.

Ok here's another question:

If 10 hens lay 10 eggs in 10 days, how many eggs would 100 hens lay in 100 days?
Senior Manager
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Re: PS Rate [#permalink]  28 Mar 2005, 23:26
Two ways to solve this:
1st.
10 hens, 10 days, 10 eggs
100 hens, 10 days, 100 eggs
100 hens, 100 days, 1000 eggs.

2nd.
10 hens 10 days 10 eggs
-> 1 hen 1 egg in 10 days
Thus 100 hens (100 times of the number) in 100 days (10 times of the time) yield 100x10 times of the egg (1 egg)
= 1000 eggs.
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Who says elephants can't dance?

VP
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10 hens => 10 eggs => 10 days
100 hens => x eggs => 100 days

100 hendays => 10 eggs
10000 hendays => x eggs

x = 1000 eggs

or

10 hens lay 1 egg per day

100 hens lay 10 eggs per day

100 hens lay 1000 eggs in 100 days
Director
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Re: PS Rate [#permalink]  29 Mar 2005, 16:49
HongHu wrote:
3 machines can produce 2x in 4 days. Then 4 machines can produce 2x in 3 days. Therefore 8 machines can produce 4x in 3 days.

Ok here's another question:

If 10 hens lay 10 eggs in 10 days, how many eggs would 100 hens lay in 100 days?

I would take this question as

100hen-eggs in 10 days
So in 1 day it is 10hen-eggs

IIIly 10000hen-eggs in 1000days
Re: PS Rate   [#permalink] 29 Mar 2005, 16:49
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