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(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(2)/(3) = (3 * 4 + 2)/(3) = (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 (10)/((14)/(3))=(10)/(1) * (3)/(14)=2.14`

Thus 2.14 kilometers of road is built each day