Question

A town has accumulated 3 inches of snow and thethe Snow depth is increasing by 5 inches every hour a nearby town has accumulated 10 inches and the depth is increasing by 2 inches every hour, in about how many hours will the snowfall of the towns be equal?

Answer 1

We have been given that a town has accumulated 3 inches of snow and the Snow depth is increasing by 5 inches every hour. Further we are given that a nearby town has accumulated 10 inches and the depth is increasing by 2 inches every hour.

Let us assume that after x hours the snowfall of both the towns will be equal.

We can express snowfall of first town after x hours as
`3+5x` and we can express the snowfall of of the second town after x hours as
`10+2x`.

In order to find the time when snowfalls of the two towns will be equal, we set up:

`3+5x=10+2x`

`5x-2x=10-3`

`3x=7`

`x=(7)/(3)\text{ hours}`

Therefore, snowfall of the two towns will be equal after
`(7)/(3)\text{ hours}`