Question

A construction crew has just finished building a road. The road is 9 kilometers long. If the crew worked for 4 2/7 days, how many kilometers of road did they build each day? (Assume they built the same amount each day)

a) 37/15 kilometers per day
b) 15/37 kilometers per day
c)26/9 kilometers per day
d)9/26 kilometers per day

Answer 1

The construction crew built an average of 2.1 kilometers of road each day, which can be calculated by dividing the total distance (9 km) by the total number of workdays (4 2/7 days).

Step-by-step explanation:

To calculate how many kilometers of road the construction crew built each day, we need to divide the total length of the road by the number of days they worked. They built a road that is 9 kilometers long over the course of 4 2/7 days.

Step-by-Step Calculation

1. First, convert the mixed number (4 2/7 days) into an improper fraction:
   4 2/7 = (4 × 7 + 2)/7 = 30/7 days.
2. Next, divide the total distance by the total number of days:
   9 km divided by 30/7 days = 9 km × 7/30 days.
3. Doing this multiplication gives us:
   63/30 km/day, which simplifies to 21/10 or 2.1 kilometers per day.

So, the construction crew built an average of 2.1 kilometers of road each day. None of the answer choices provided match the correct solution, which is 2.1 kilometers per day.