1. Formulas to relate velocity?

Hi,

I'm not sure if this is the right place to post this, but it is part of a calculus problem I am working on, so hopefully it's okay.

I know how to do the problem (I'm working with related rates), but I have to find velocity, and all I have are two graphs, one of gallons/hour, and the other of fuel efficiency as a function of fuel - (miles/gallon)/gallon. My problem is finding a way to relate these equations, or finding another equation so that I can relate them, and solve this problem!

Thank you!

2. Originally Posted by Milou
Hi,

I'm not sure if this is the right place to post this, but it is part of a calculus problem I am working on, so hopefully it's okay.

I know how to do the problem (I'm working with related rates), but I have to find velocity, and all I have are two graphs, one of gallons/hour, and the other of fuel efficiency as a function of fuel - (miles/gallon)/gallon. My problem is finding a way to relate these equations, or finding another equation so that I can relate them, and solve this problem!

Thank you!
This is a related rates problem.

$\displaystyle \frac{\textrm{miles}}{\textrm{gallon}}\cdot\frac{\ textrm{gallons}}{\textrm{hour}} = \frac{\textrm{miles}}{\textrm{hour}}$.

3. Thanks, I got it!