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# If it takes 5 machines 5 minutes to make 5 widgets, how long

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Intern
Joined: 17 Aug 2008
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If it takes 5 machines 5 minutes to make 5 widgets, how long [#permalink]  03 Sep 2008, 12:55
1. If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?

Can someone explain the logic too?
Manager
Joined: 09 Jul 2007
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Re: Rate Problem. [#permalink]  03 Sep 2008, 13:14
It would be 5 mins.

Explanation :
you can use it in any time and work problem : lets number of machines be m , time be t and number of widgets be w; now as you can see, the
number of widgets prepared ( w) will be directly proportioal to m * t

so w = m * t * C( contant )
or C(constant )= w/(m*t)

now m1*t1/w1 = m2*t2/w2

m1,t1,w1=5 and m2, w2=100 = > t2=5 mins
VP
Joined: 05 Jul 2008
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Re: Rate Problem. [#permalink]  03 Sep 2008, 16:31
ssandeepan wrote:
It would be 5 mins.

Explanation :
you can use it in any time and work problem : lets number of machines be m , time be t and number of widgets be w; now as you can see, the
number of widgets prepared ( w) will be directly proportioal to m * t

so w = m * t * C( contant )
or C(constant )= w/(m*t)

now m1*t1/w1 = m2*t2/w2

m1,t1,w1=5 and m2, w2=100 = > t2=5 mins

Excellent way of using the proportionality. It really tears the problem apart

I arrived at the same answer
Senior Manager
Joined: 16 Jul 2008
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Re: Rate Problem. [#permalink]  03 Sep 2008, 23:38
I did it with simplifying the question. It asks "If it takes 1 machine 5 minutes to make 1 widget, how long would it take 20 machines to make 20 widgets?"

Then it's easy:
20t/5 = 20
t = 5
_________________
Re: Rate Problem.   [#permalink] 03 Sep 2008, 23:38
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