+1678 I drove to the beach at a rate of $40$ miles per hour. If I had driven at a rate of $55$ miles per hour instead, then I would have arrived $25$ minutes earlier. How many miles did I drive?
+37146 distance = rate X time
d = 40 t
d = 55(t - 25/60) 25/60 is the number of hours that is 25 min
equate the two d's
40 t = 55 ( t-25/60)
-15t = - 22.917
t = 1 19/36 hr
at 40 mi/hr this is distance = rate X time
= 40 X 1 19/36 = 61 1/9 miles
+37146 distance = rate X time
d = 40 t
d = 55(t - 25/60) 25/60 is the number of hours that is 25 min
equate the two d's
40 t = 55 ( t-25/60)
-15t = - 22.917
t = 1 19/36 hr
at 40 mi/hr this is distance = rate X time
= 40 X 1 19/36 = 61 1/9 miles
