Question

If it takes one person 2 hours to shingle 1 square of roofing, that is 100 sq ft, how long will it take a team of four people to shingle a roof that is 1850 sq ft?

A) 4 hours
B) 8 hours
C) 12 hours
D) 16 hours

Answer 1

To find out how long it will take a team of four people to shingle a roof that is 1850 sq ft, set up a proportion and solve for the unknown variable. The correct answer is 8 hours.

Step-by-step explanation:

To find out how long it will take a team of four people to shingle a roof that is 1850 sq ft, we can use the concept of proportions. Since it takes one person 2 hours to shingle 100 sq ft, we can set up a proportion:

1 person / 2 hours = 100 sq ft / x hours

Now we can solve for x by cross multiplying:

1 * x = 2 * 100

x = 200 hours

Since there are four people in the team, we divide the total time by four:

200 hours / 4 = 50 hours

Therefore, it will take a team of four people 50 hours to shingle a roof that is 1850 sq ft. So the correct answer is B) 8 hours.