Question

Mr. Young has a section of his parking lot, measuring 10 yards by 12 yards, that needs to be repaved. The paving company told Mr. Young the workers complete 3 1/5 square yards every 1/4 hour. How long should it take to pave the parking lot?

Answer 1

Explanation:

To determine how long it will take to pave the parking lot, we need to calculate the area of the parking lot and then divide it by the rate at which the workers complete paving.

The area of the parking lot is given as 10 yards by 12 yards, so we can calculate its total area as:

10 yards * 12 yards = 120 square yards

Next, we need to determine the rate at which the workers complete paving. According to the information given, they complete 3 1/5 square yards every 1/4 hour.

To convert 3 1/5 to a mixed fraction, we can rewrite it as 16/5.

Therefore, the rate at which the workers complete paving is:

16/5 square yards every 1/4 hour

Now, to find out how long it will take to pave the parking lot, we can set up a proportion:

(16/5 square yards) / (1/4 hour) = (120 square yards) / (x hours)

To solve for x, we can cross-multiply:

(16/5) * (x) = (120)

Now, we can solve for x by multiplying both sides by 5/16:

x = (120) * (5/16)

Simplifying, we get:

x = 37.5

Therefore, it should take approximately 37.5 hours to pave the parking lot.