Atown 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?

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 and we can express the snowfall of of the second town after x hours as .

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

Therefore, snowfall of the two towns will be equal after

a

step-by-step explanation:

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ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation: