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20 beavers, working together in a constant pace, can build a dam in 3

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Bunuel
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20 beavers, working together in a constant pace, can build a dam in 3 [#permalink] New post   11 Jul 2016, 12:39
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20 beavers, working together in a constant pace, can build a dam in 3 hours. How many hours will it take 12 beavers that work at the same pace, to build the same dam?

A. 2.
B. 4.
C. 5.
D. 6.
E. 8.
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C
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gracie
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Re: 20 beavers, working together in a constant pace, can build a dam in 3 [#permalink] New post   11 Jul 2016, 13:30
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rate of one beaver=1/(20*3)=1/60
1/(12*1/60)=5 hours
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Re: 20 beavers, working together in a constant pace, can build a dam in 3 [#permalink] New post   11 Jul 2016, 13:35
C. 5 hrs
If there were 10 beavers it qould have taken double= 6hrs.. so closest to that option is 5.

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Re: 20 beavers, working together in a constant pace, can build a dam in 3 [#permalink] New post   13 Jul 2016, 16:57
Bunuel wrote:
20 beavers, working together in a constant pace, can build a dam in 3 hours. How many hours will it take 12 beavers that work at the same pace, to build the same dam?

A. 2.
B. 4.
C. 5.
D. 6.
E. 8.


Total Work = 20*3= 60 Beaverhours
12 Beaver * x =60 Beaverhours
x=60/12=5
Option C
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20 beavers, working together in a constant pace, can build a dam in 3 [#permalink] New post   02 Aug 2016, 21:15
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For these types of problems, you don't want to waste time. The most efficient way to solve this IMO
is \(20(3)=12(x).\)

Dividing both sides by 4 we obtain \(5(3)=3(x)\).

Hence, x is 5.
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Re: 20 beavers, working together in a constant pace, can build a dam in 3 [#permalink] New post   05 Feb 2024, 08:28
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Re: 20 beavers, working together in a constant pace, can build a dam in 3 [#permalink]
05 Feb 2024, 08:28
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