Question

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?

Answer 1

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,
`d = 100(t+ 1.5)` .

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

So,

`200t = 100( t + 1.5 )\\\\2t = t + 1.5\\\\t = 1.5 \ hours`

Therefore, snake will catch mouse in 1.5 hours.