Answer:
It will take weeks to complete the repair of the stretch of road.
Step-by-step explanation:
Given:
Length of the roads that need repairs =
Length of the road workers can repair in a week =
To find the number of weeks will it take to repair this stretch of road.
Solution:
Unit rate of workers to repair roads = per week.
Total length of the roads to repair =
The number of weeks it will take to repair of road by workers can be given as:
⇒
<em>In order to divide mixed numbers, we convert them first to fractions.</em>
⇒
<em>To divide fractions, we take reciprocal of the divisor and replace division with multiplication:</em>
⇒
⇒
We reconvert the fraction to mixed number.
⇒ weeks
Thus, it will take weeks to complete the repair of the stretch of road.