The transportation department is resurfacing 12.75 miles of roadways in Dallas county. The crew completes work on a 1/8 mile section of roadway each hour. How many hours will it take to complete the resurfacing project?
it takes 8 hours for one whole mile, so 12.75 * 8 = ____
1/8 mile/hour = 8 hours per mile
12.75 * 8 = ?
12.75/(1/8) = 12.75*8 =
To find the number of hours it will take to complete the resurfacing project, we need to divide the total distance to be resurfaced by the distance completed in one hour.
First, let's convert 12.75 miles into a fraction with the same denominator as 1/8 mile.
12.75 miles = 12 + 0.75 miles = 12 + 3/4 miles = 48/4 + 3/4 = 51/4 miles
Now, we divide the total distance by the distance completed in one hour:
51/4 miles ÷ 1/8 mile/hour
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
51/4 miles × 8/1 mile/hour
Multiplying the numerators and denominators, we get:
(51 × 8) /( 4 × 1) = 408/4 = 102 hours
Therefore, it will take 102 hours to complete the resurfacing project.