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 **25** minutes later. How many miles did I drive?

Keihaku Oct 17, 2022

#2**+1 **

Let the time taken to drive to the beach ==T hours

40T = 30[T + 25/60], solve for T

40T = 30T + 12.5

40T - 30T =12.5

10T = 12.5

T = 12.5 / 10 =**1.25 hours to drive to the beach at 40 mph**

1.25 x 40 =**50 miles - distance from your house to the beach.**

50 / 30 =1 + 2/3 =1 hour and 40 minutes to get to the beach if you drove at 30 mph.

Guest Oct 17, 2022