contestada

A mouse is traveling at a rate of 100 feet per hour. One half hour later, a snake smells the

mouse and follows the path of the mouse at a rate of 200 feet per hour. In how many hours

will the snake catch up to the mouse?

Respuesta :

Let, snake catches the mouse in t hours. Till then mouse is travelling from

( t + 1.5 ) hours.

Distance, travelled by mouse in t hours is, [tex]d = 100(t+ 1.5)[/tex] .

To catch the mouse snake had to travel the same distance d in  t hours.

So,

[tex]200t = 100( t + 1.5 )\\\\2t = t + 1.5\\\\t = 1.5 \ hours[/tex]

Therefore, snake will catch mouse in 1.5 hours.

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