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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.

Sagot :

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

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