Answer:
30 minutes
Step-by-step explanation:
We are given that
Speed of you=18mph
You are 3 miles behind your friend who is biking at a speed
Speed of your friend=12 mph
We have to write an equation and solve to find the amount of time that takes you to catch up t your friend.
[tex]Speed=\frac{distance}{t}[/tex]
Let t be the time taken by you to catch your friend.
According to question
[tex]18t=12t+3[/tex]
[tex]18t-12t=3[/tex]
[tex]6t=3[/tex]
[tex]t=\frac{3}{6}=\frac{1}{2} h=\frac{1}{2}\times 60=30 minutes[/tex]
Hence, you take 30 minutes to catch up to your friend.
