SOLUTION: Please help I am stuck question is : A motorcycle travels 196 miles in the same amount of time that a car travels 161 miles. The rate of the motorcycle is 10 miles per hour faster

Click here to see ALL problems on Travel Word Problems

Question 522421: Please help I am stuck question is : A motorcycle travels 196 miles in the same amount of time that a car travels 161 miles. The rate of the motorcycle is 10 miles per hour faster than the rate of the car. Find the rate of the car.
I know to use r=d/t for the motorcycle it would be r+10=196/t for the car r=161/t but I'm confused how to put them together to make the equation. I'm thankful for any help.
Found 2 solutions by Alan3354, solver91311:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
A motorcycle travels 196 miles in the same amount of time that a car travels 161 miles. The rate of the motorcycle is 10 miles per hour faster than the rate of the car. Find the rate of the car.
-----------------------
t = 196/r = 161/(r-10)
Can you finish it?

Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

You are so close to the correct method that if it had teeth it would have bit you.

Instead of , you want to use

So for the car:

and for the motorcycle:

But , doesn't it? Sooooo...

Now all you have to do is cross-multiply and solve for

You should be able to take it from here.

John

My calculator said it, I believe it, that settles it