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?
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.