Question

Tracy leaves the beach at 3:00 p.m. and drives along the highway at 55 mph. One hour later, Quinn leaves the same beach and drives along the same highway in the same direction at 65 mph. How many hours will it take Quinn to catch up to Tracy?
10 hours
6.5 hours
8.5 hours
15 hours

Answer 1

Answer:

8.5 hours

Step-by-step explanation:

55 x 9.5 (add extra hour) = 552.5 miles

65 x 8.5 (actual time spent) = 552.5 miles

Answer 2

The time taken for Quinn to catch up to Tracy during the journey is 8.5 hours.

Time of motion of Tracy and Quinn

The time of motion of tracy and quinn is determined by using the following equation as shown below;

For tracy, d = 55(t + 1)

For Quinn, d = 65t
where;

• t is the time taken for Quinn to catch up to Tracy

55(t + 1) = 65t

55t + 55 = 65t

55 = 10t

t = 55/10

t = 5.5 hours

3 hour from noon + 5.5 hours = 8.5 hours

Learn more about time of motion here: https://brainly.com/question/2364404

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