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?

wiseowl Nov 2, 2023

#1**+1 **

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

ElectricPavlov Nov 5, 2023