Question

Math quest after a winter storm, the depth of the snow on cherry street was 10 \text{ cm}10 cm10, space, c, m. but then, the snow started melting at a rate of \dfrac{1}{3} \text{ cm}​3​​1​​ cmstart fraction, 1, divided by, 3, end fraction, space, c, m per hour.what was the depth of the snow on cherry street after 333 hours?

Answer 1

We are given that the initial depth of snow is 10 cm while the rate of melting is 1/3 cm per hour. So the melted ice after 3 hours is:

melted = (1/3 cm/hr) * 3 hours = 1 cm

Hence the depth left is:

depth = 10 cm – 1 cm = 9 cm

Answer:

9 cm

Answer 2

9 cm.

Explanation:

Let x be the number of hours.

We have been given that after a winter storm, the depth of the snow on cherry street was 10 cm. Then, the snow started melting at a rate of
`(1)/(3)`, so the snow melted in x hours will be
`(1)/(3)x`.

Since initially there was 10 cm of snow, so the depth of snow after x hours will be:

`10-(1)/(3)x`

To find the depth of snow after 3 hours we will substitute
`x=3` in our expression.

`10-(1)/(3)* 3`

`10-1`

`9`

Therefore, the depth of the snow on cherry street after 3 hours will be 9 cm.