Answer: 7 days
Explanation:
From the question, we are informed that a road construction company can repair 1/4 mile of road each day. We are further told that Road X is 7 ½ miles long. The number of days that it'll take to repair road X will be:
= 7 1/2 ÷ 1/4
= 15/2 × 4/1
= 30 days
Road Y is 5 ¾ miles long. The number of days that it'll take to repair road Y will be:
= 5 3/4 ÷ 1/4
= 23/4 × 4/1
= 23 days
The difference in the number of days that Road X take to repair than Road Y will be:
= 30 days - 23 days
= 7 days