# Question #57dba

Jan 17, 2017

It will take 6.76 seconds for the kittens to meet (gently I hope!)
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#### Explanation:

You can answer this problem without difficulty be realizing that having both kittens run at the speeds given produces the same time duration as if one kitten remained at rest while the other ran toward it at $25 + 12 = 37 \frac{m}{s}$

The formula that links distance, time and speed is the definition of speed, which says

$v = \frac{d}{t}$

What needs to be done here, is to change the formula so it reads $t = \ldots$

To do this, multiply both sides by $t$ and divide both sides by $v$. You get

$t = \frac{d}{v}$

So, $t = \frac{250}{37} = 6.76 s$