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GarryVolchara [31]
3 years ago
13

The scenic ride up the mountain averages 80 miles per hour the return train ride down the mountain averages 85 miles per hour th

e total travel time is 6.6 hours how long does each ride take explain
Mathematics
1 answer:
Drupady [299]3 years ago
5 0

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

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