Question

You are biking at a speed of 18 miles per hour. You are 3

miles behind your friend who is bikin at a speed of 12 miles
per hour. Write and solve an equation to find the time it takes
for you to catch up to your friend. Make sure to include the
correct units in your answer.

Answer 1

To catch up to your friend who is biking 3 miles ahead at 12 mph while you are biking at 18 mph, it will take you ½ hour or 30 minutes.

Step-by-step explanation:

To find the time it takes for you to catch up to your friend while biking, we can set up an equation using the relative speeds of you and your friend. You are biking at a speed of 18 miles per hour, and your friend is biking at a speed of 12 miles per hour. Since you are 3 miles behind, we need to figure out the time it takes for you to cover this distance difference given your relative speed to your friend.

Let's denote the time it takes to catch up as t hours. Your speed relative to your friend's speed is 18 mph - 12 mph = 6 miles per hour. To find out how long it takes to catch up, we use the equation:

Distance = Speed × Time

For you to catch up:

3 miles = 6 mph × t

Now let's solve for t:

t = 3 miles / 6 mph

t = 0.5 hours

Converting 0.5 hours to minutes, we get:

t = 0.5 hours × 60 minutes/hour = 30 minutes

Therefore, it'll take you 30 minutes to catch up to your friend.