Question

Julie drives the 120 miles from Tampa to Ft. Myers at 65 mph while Beth drives from Ft. Myers to Tampa at 55 mph. How long will it take for Julie and Beth to meet each other if they leave at the same time?

A) 2 hours
B) 3 hours
C) 4 hours
D) 5 hours

Answer 1

Julie and Beth will take approximately 2 hours and 11 minutes to meet each other if they leave at the same time.

Step-by-step explanation:

In order to find out how long it will take for Julie and Beth to meet each other, we can use the formula:

Time = Distance / Speed

Julie drives 120 miles at a speed of 65 mph, so her time would be:

Time(Julie) = 120 miles / 65 mph

Beth drives from Ft. Myers to Tampa at a speed of 55 mph, so her time would be:

Time(Beth) = 120 miles / 55 mph

If they leave at the same time, we need to find the maximum value of the two times. So, the total time would be:

Total time = max(Time(Julie), Time(Beth))

By substituting the respective values, we get:

Total time = max(120 miles / 65 mph, 120 miles / 55 mph)

Total time = max(1.846 hours, 2.182 hours)

Since 2.182 hours is the bigger value, we can round it to 2 decimal places and convert it to hours and minutes. So, the answer is approximately 2 hours and 11 minutes.