After a winter storm, the depth of the snow on Cherry Street was 10 \text{ cm}10 cm10, start text, space, c, m, end text. 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, start text, space, c, m, end text per hour.

Respuesta :

Answer:

Depth of Snow on Cherry Street after 3 hours would be 9 cm.

Step-by-step explanation:

Given:

Depth of the snow =  10 cm

Rate of snow started melting = [tex]\frac13\ cm/hr[/tex]

We need to find the depth of the snow on Cherry street after 3 hours.

Solution:

Now first we will find the Amount of snow melted in 3 hours.

Amount of snow melted in 3 hours can be calculated by multiplying Rate of snow started melting multiplied by 3.

framing in equation form we get;

Amount of snow melted in 3 hours = [tex]\frac{1}{3}\times 3= 1\ cm[/tex]

Now we can say that;

Depth of snow after 3 hours is equal to Depth of the snow minus Amount of snow melted in 3 hours.

framing in equation form we get;

Depth of snow after 3 hours = [tex]10-1=9\ cm[/tex]

Hence Depth of Snow on Cherry Street after 3 hours would be 9 cm.

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