Question

Drag numbers to fill in the table to organize the information in this problem. Carter works for a fence company. He can paint a fence at a rate of 2.25 feet per minute and stain a fence at a rate of 0.75 foot per minute. This week he needs to paint two fences. The first fence is 145.8 feet long, and the second fence is 76.2 feet long. How long will it take him to paint both fences?

Answer 1

394.67 minutes (or about 6.58 hours)

Explanation:

For 145.8 feet long fence:

At a rate of 2.25 feet per minute, its gonna take him

`(145.8)/(2.25)=64.8` minutes to pain

Also

At a rate of 0.75 feet per minute, its gonna take him

`(145.8)/(0.75)=194.4` minutes to stain

For 76.2 feet long fence:

At a rate of 2.25 feet per minute, its going to take him

`(76.2)/(2.25)=33.87` minutes to pain

At a rate of 0.75 feet per minute, its gonna take him

`(76.2)/(0.75)=101.6` minutes to stain

In total, it's gonna take him:

64.8 + 194.4 + 33.87 + 101.6 = 394.67 minutes

In hours, that is 394.67/60 = 6.58 hours