Question

A construction team gives an estimate of three months to repave a large stretch of a very busy road. The government responds that it's too much inconvenience to have this busy road obstructed for three months, so the job must be completed in one month. How does this deadline change the number of workers needed?

a. One-ninth as many workers are needed.
b. One-third as many workers are needed.
c. The same number of workers are needed.
d. Three times as many workers are needed.
e. Nine times as many workers are needed.

Answer 1

The deadline change to one month will require three times as many workers to repave the road.

Step-by-step explanation:

The number of workers needed to repave a road can be determined using the concept of man-hours. The original estimate of three months means that the work would be divided among a certain number of workers over a total of 3 months. Assuming that the work is evenly distributed, the number of workers needed can be calculated as: (Number of workers needed for 1 month)/(Number of months originally estimated). In this case, the number of workers needed for 1 month is 3 times the number of workers initially estimated. So, the correct answer is d. Three times as many workers are needed.