Imani left the hardware store and traveled toward the lame at an average speed of 55 mph. Joe left the hardware store at the same time in the opposite direction with a speed of 65 mph. How many hours will it take for Imani and Joe to be 60 miles apart

Answer: it will take 0.5hour for both of them to be 60 miles apart.

Step-by-step 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