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If 6 Dogs can find 6 bones in 6 minutes, how long will it take 100 Dogs to find 100 bones

 Jun 3, 2020
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If 6 Dogs can find 6 bones in 6 minutes, how long will it take 100 Dogs to find 100 bones?

 

Hello Guest!

 

\(W_1=N\cdot n_1\cdot t_1\\ N=\frac{W_1}{ n_1\cdot t_1}=\frac{6\ bones}{6\ dogs\ \cdot \ 6\ min}\)

\(N=\frac{1}{6}\cdot\frac{bones}{dog\cdot min}\)

 

\(t=\frac{W_2}{N\cdot n_2}\\ t=\large \frac{100}{\frac{1}{6}\cdot 100}\cdot \large \frac{bones}{ \frac{bones}{dog\cdot min}\cdot dogs}\)

\(t=6\ min\)

laugh  !

 Jun 3, 2020
edited by asinus  Jun 3, 2020

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