Question

you are biking at a speed of 18 mph. You are 3 miles behind your friend who is breaking at a speed of 12 mph.write and solve an equation to find the amount of time it takes for you to catch up to your friend.

Answer 1

18t=12t+3
18t-12t=3
6t=3
t=.5

Answer 2

30 minutes

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.

`Speed=(distance)/(t)`

Let t be the time taken by you to catch your friend.

According to question

`18t=12t+3`

`18t-12t=3`

`6t=3`

`t=(3)/(6)=(1)/(2) h=(1)/(2)* 60=30 minutes`

Hence, you take 30 minutes to catch up to your friend.