Question

You and a friend of your choice are driving to Nashville in two different

cars. You are traveling 65 miles per hour and your friend is traveling 51
miles per hour. Your friend has a 35 mile head start. Nashville is about 200
miles from Memphis (just so you'll know). When will you catch up with
your friend?

Answer 1

Answer: Let's set up an equation to solve for the time it takes for you to catch up:

Distance traveled by you = Distance traveled by your friend

Let t be the time in hours it takes for you to catch up.

For you: Distance = Rate * Time

Distance = 65t

For your friend: Distance = Rate * Time

Distance = 51t + 35 (taking into account the 35-mile head start)

Setting up the equation:

65t = 51t + 35

Simplifying the equation:

65t - 51t = 35

14t = 35

t = 35 / 14

t ≈ 2.5 hours

Therefore, you will catch up with your friend approximately 2.5 hours after starting your journey.

Explanation: