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You and your friend are in a canoe race. Your friend is a half mile in front of you and paddling 3 miles per hour. You are paddling 3.4 miles per hour. You are 8.5 miles from the finish line. How long will it take to catch up to your friend?

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CintiaSalazar

Answer:

To catch your friend you have to paddle for 1.25 hours

Step-by-step explanation:

Your friend is 0.5 mile in front of you and paddling 3 miles per hour. You are paddling 3.4 miles per hour.

Since the speed is the relationship between the space traveled by an object and the time used for it, then the distance is defined as:

distance= speed*time

Being x the time it takes to reach your friend, then your friend's position will be:

  • 3miles per hour*x + 0.5 (since your friend  is 0.5 mile in front of you)

while your position is:

  • 3.4 miles per hour*x

When you reach your friend the position of both should be the same. So:

3*x + 0.5= 3.4*x

Solving:

0.5= 3.4*x - 3*x

0.5= 0.4*x

0.5 ÷0.4= x

1.25= x

This means that to catch your friend you have to paddle for 1.25 hours

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