Question

A construction crew has just finished building a road. The road is 10 kilometers long. If the crew worked for 4 2/3 days, how many kilometers of road did they build each day? (Assume they built the same amount each day.)

Answer 1

2.14 kilometers of road is built each day

Solution:

Given that road is 10 kilometers long

The crew worked for $4\frac{2}{3}$ days

To find: Kilometers of road build each day

Assume they built the same amount each day

Length of road = 10 km

number of days worked = $4\frac{2}{3} = \frac{3 \times 4 + 2}{3} = \frac{14}{3}$

Kilometers of road build each day is given as:

Kilometers of road build each day = total length of road divided by number of days the crew worked

$\rightarrow \frac{10}{\frac{14}{3}}=\frac{10}{1} \times \frac{3}{14}=2.14$

Thus 2.14 kilometers of road is built each day