I drive 270 miles and my friend drives 330 miles and we arrive at the same place and arrive at the same time. My friend drives 10 miles an hour faster than I do,--how fast did we both dirve?

I just panic with these word problems! thanks-

- Thread starter rn50nurse
- Start date

I drive 270 miles and my friend drives 330 miles and we arrive at the same place and arrive at the same time. My friend drives 10 miles an hour faster than I do,--how fast did we both dirve?

I just panic with these word problems! thanks-

Don't panic with word problems. This is just a distance = rate * time problem.

Since d=rt. You are given distance and rates.

You: \(\displaystyle rt=270\)

Your friend: \(\displaystyle (r+10)t=330\)

Now, you have a system of two equations. Can you solve it?.

But, let's look at this another way and make the equation easier.

The difference in the two rates is 10. Therefore, \(\displaystyle 270+10t=330\)

Now, you can solve for t and then use that to find the rates.

You got it anyway.