Question

The scenic ride up the mountain averages 80 miles per hour the return train ride down the mountain averages 85 miles per hour the total travel time is 6.6 hours how long does each ride take explain

Answer 1

speed = distance/time

distance = speed * time

d = st

time up the mountain: t

time down the mountain: 6.6 - t

distance each way: d

Up the mountain:

d = st

d = 80t

Down the mountain

d = st

d = 85(6.6 - t)

The distances are equal, so

80t = 85(6.6 - t)

80t = 561 - 85t

165t = 561

t = 3.4

6.6 - t = 6.6 - 3.4 = 3.2

It takes 3.4 hours up the mountain and 3.2 hours down the mountain.

3.4 hours at 85 mph covers the same distance as 3.2 hours at 85 mph.

3.4 hours * 80 mph = 272 miles

3.2 hours * 85 mph = 272 miles