SOLUTION: a car and a bus start at 8:00 a.m. from the same point and travel in the same direction. the average speed of the car is 60 mph. in 2 hours the car is 30 miles ahead of the bus. fi

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: a car and a bus start at 8:00 a.m. from the same point and travel in the same direction. the average speed of the car is 60 mph. in 2 hours the car is 30 miles ahead of the bus. fi      Log On

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Question 1111867: a car and a bus start at 8:00 a.m. from the same point and travel in the same direction. the average speed of the car is 60 mph. in 2 hours the car is 30 miles ahead of the bus. find the average speed of the bus.
Found 3 solutions by josgarithmetic, ikleyn, TeachMath:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!

                SPEED       TIME         DISTANCE

CAR               60          2           60*2

BUS               r           2           2r

DIFFERENCE                              30

Solve the equation for their difference in diatance
120-2r=20

Answer by ikleyn(52878) About Me  (Show Source):
You can put this solution on YOUR website!
.
a car and a bus start at 8:00 a.m. from the same point and travel in the same direction. the average speed of the car is 60 mph.
in 2 hours the car is 30 miles ahead of the bus. find the average speed of the bus.
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Since the average speed of the car was 60 mph (given !), in 2 hours it covered  2*60 = 120 miles.


Since the car was  30 miles ahead the bus at that time moment,

it means that the bus covered  90 = 120 - 30 miles in 2 hours.


Hence, the average speed of the bus was  90%2F2 = 45 miles per hour.


Answer.  The average speed of the bus was  45 mph.

Solved.

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See introductory lessons on Travel and Distance problems
    - Travel and Distance problems
    - Travel and Distance problems for two bodies moving in opposite directions
    - Travel and Distance problems for two bodies moving in the same direction (catching up)
in this site.

They are written specially for you.

You will find the solutions of many similar problems there.

Read them and learn once for all from these lessons on how to solve simple Travel and Distance problems.

Become an expert in this area.

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Be aware :   The solution by  @josgarithmetic  is   W R O N G !.

For your safety,  simply ignore it.



Answer by TeachMath(96) About Me  (Show Source):
You can put this solution on YOUR website!
This person is so, so RIDICULOUS! How can the car's speed be 67 1/2 mph when the PROBLEM states that the car's average speed is 60 mph.
Is this person who claims that the car's speed is 67 1/2 suffering from dementia. Something has to be seriously wrong with this person.

And, what has happened to the old dude on the hill who seems to be a sexist. His eyes are deceiving him? He came to this forum recently and is always
correcting people and telling people to do the problems using his ANTIQUATED methods, and also making fun and ridiculing people whose 1st language is not English.
He certainly seems to be blind to certain people's RIDICULOUS/NONSENSICAL answers.

I'm sorry for the people who come in here and have these kinds of
people respond to their math questions.

The problem is SO, SO SIMPLE
In 2 hours, the car traveled 120 miles
Since the car had traveled 30 miles farther than the bus, it means that the bus had traveled 120 – 30, or 90 miles in the same amount of time (2 hours) as the car
Therefore, speed of bus = 90/2, or 45 mph
See how SIMPLE this 6th/7th grade travel problem is?