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

272miles long for each ride taken.

Given that,

The scenic ride up the mountain averages 80 miles per hour.

The return train ride down the mountain averages 85 miles per hour

We have to determine,

How long does each ride take?

According to the question,

The scenic ride up the mountain averages 80 miles per hour.

The return train ride down the mountain averages 85 miles per hour

Then,

The total travel time is 6.6 hours then each ride take time is determined by the formula given below,

Speed = distance/time

distance = speed × time

Let, The time up the mountain is t,

And time down the mountain is 6.6 - t

The distance each way: d

Then,

Up the mountain; distance = speed × time = 80t

Down the mountain; distance = speed × time  = 85(6.6 - t)

The distances are equal so, the value of time is,

 The time down the mountain is 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

Hence, 272miles long for each ride taken.

To know more about the Equation click the link given below.

link

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