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:
9 cm.
Step-by-step 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 [tex]\frac{1}{3}[/tex], so the snow melted in x hours will be [tex]\frac{1}{3}x[/tex].
Since initially there was 10 cm of snow, so the depth of snow after x hours will be:
[tex]10-\frac{1}{3}x[/tex]
To find the depth of snow after 3 hours we will substitute [tex]x=3[/tex] in our expression.
[tex]10-\frac{1}{3}\times 3[/tex]
[tex]10-1[/tex]
[tex]9[/tex]
Therefore, the depth of the snow on cherry street after 3 hours will be 9 cm.
