I drove to the beach at a rate of \(40\)miles per hour. If I had driven at a rate of \(30\) miles per hour instead, then I would have arrived \(20\) minutes later. How many miles did I drive?
I'm kind of stuck, can someone help? thanks!
rate x time = distance
rate1 = 40
rate 2 = 30 m/hr
t1 = t
t2 = t + 1/3 (1/3 = 20 minutes)
Equate the distances
40 t = 30 (t+1/3) solve for t then distance = 40 t