Question

the height of the snow was 84 inches in the beginning of the week. it melts at a rate of 0.15 inches per hour. how many hours would it take for the snow to reach 62 inches?

Answer 1

It takes 147 hours for the snow to reach 62 inches.

Explanation:

Given:

Height of the snow at the beginning = 84 inches

Rate at which the snow melts = f 0.15 inches per hour

To Find:

The time taken for the snow to reach 62 inches = ?

Solution:

Let the time taken to reach 62 inches be x

Then according to the question,

Total height of the snow - (rate of melting)(x) = 62 inches

On substituting the values,

84 - (0.15)(x) = 62

84 - 0.15x = 62

- 0.15x = 62 - 84

- 0.15x = -22

0.15x = 22

x = \frac{22}{0.15}

x= 146.6

x = 147