Problema Solution
Penny's bicycle trip from a resort town to a mountain too 2.5 hours longer than the return trip to the resort town.If she averaged 5 mph on the way to the mountain and 10 mph for the return trip, then how long was the ride from the resort to the mountain?
Answer provided by our tutors
The time of the trip there, T, took 2.5 hours longer than the return trip R..
T = R + 2.5 hours
The average speed there was 5 mph, and 10 mph returning.
R 10 mph = T 5 mph
Dividing each side by 5 mph...
2R = T
Combining both equations...
2R = T = R + 2.5 hours
R = 2.5 hours
T = 5 hours
The 25 mile trip there took 5 hours.