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# help

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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

#1
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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!

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

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

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

$$t=6\ min$$

!

Jun 3, 2020
edited by asinus  Jun 3, 2020