You are 36 miles from a friend. You both start riding your bicycles tword each other at the same time. You travel 15 mph and your friend travels 3 mph slower. How far will you travel before you meet your friend?

I got 19.9 miles but I don't think it's right. Can you check me?

Thanks:)

Thanks:)

12345678

To find the distance you will travel before meeting your friend, we can use the concept of relative speeds in determining when two objects meet.

Let's consider your friend's speed as 15 - 3 = 12 mph (since your friend is traveling 3 mph slower than you).

Now, we can calculate how long it will take for you both to meet. To do this, we divide the total distance between you and your friend (36 miles) by the sum of your speeds:

Time = Distance / Speed

Time = 36 miles / (15 mph + 12 mph)
Time = 36 miles / 27 mph
Time ≈ 1.33 hours

Now, to find out how far you will travel before meeting your friend, you can multiply your speed by the time it takes to meet:

Distance = Speed * Time
Distance = 15 mph * 1.33 hours
Distance ≈ 19.95 miles

So, you will travel approximately 19.95 miles before meeting your friend. Therefore, your answer of 19.9 miles is correct. Well done!