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?

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:

while your position is:

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

points are handed out whenever you post answers.

brainliest answers are handed out by the person asking the question, so whether your answer is picked depends entirely on whether the asker bothers to pick

if you're asking about your rank, it depends on having a certain number of points and a certain number of brainliest answers. for example, at the time of this writing, i have 44338 points out of 15000 needed for the next (nearly triple the requirement! ) but i only have 24 out of 50 required brainliest answers. this number decays, meaning after a certain amount of time (i think about a month), the total number of brainliest answers you've earned doesn't count toward this total. (i've been stuck at the same rank for a long

the lesson to learn here is that you shouldn't worry about points or rank. chances are, no matter how good an answer you may provide, your efforts will go mostly unnoticed unless you focus on the newest/most active questions that get posted.

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse