Answer: it will take 0.5hour for both of them to be 60 miles apart.
Explanation:
Let t represent the number of hours that it will take for Imani and Joe to be 60 miles apart
By the time they are 60 miles apart, they would have covered a total distance of 60 miles.
Imani left the hardware store and traveled toward the lame at an average speed of 55 mph. This means that the distance travelled in t hours is 55t
Joe left the hardware store at the same time in the opposite direction with a speed of 65 mph. This means that the distance travelled in t hours is 65t.
Since the total distance covered is 60 miles, then
55t + 65t = 60
120t = 60
t = 60/120 = 0.5 hour