Question

Help pleaseee.
Algebra 1 - Adding and subtracting Rational Expressions.



The distance between Atlanta, Georgia, and Albuquerque, New Mexico, is about 1270 mi. The ground speed for jet traffic from Albuquerque to Atlanta can be about 18% faster than the ground speed from Atlanta to Albuquerque. Let "r" be the speed from Atlanta to Albuquerque in miles per hour. What is a simplified expression for the round-trip flying time?

Answer 1

Where are you stuck?

Answer 2

I don't know how to put this into an expression

Answer 3

Do you know that distance/rate = time?

Answer 4

I do now, haha. What does that have to do with the problem?

Answer 5

How far is it from Albuquerque to Atlanta?

Answer 6

1270 Mi. Right?

Answer 7

Ohh , I see where this is going.. I think

Answer 8

yes. What is the rate of the plane from Atlanta to Albuquerque?

Answer 9

18% faster than ground speed

Answer 10

Let "r" be the speed from Atlanta to Albuquerque in miles per hour.

That's what the problem says. So I ask you again, what is the rate of the plane from Atlanta to Aluquerque?

Answer 11

i don't know.. "r" mph ?

Answer 12

Yes. r. So now we know the distance and we know the rate. What is the time?

Answer 13

1270/r = time, right?

Answer 14

Yes. So that is the time to go from Atlanta to Albuquerque.
Now let's work on the time to get from Albuquerque to Atlanta.

Answer 15

Ok

Answer 16

The problem says that the speed was 18% faster going that way. So what is the new speed?

Answer 17

Umm, is it 1270/ r-18 or something like that?

Answer 18

The old rate was r. 18%of r is .18r
So the new rate is r+.18r which is 1.18r and that is the new rate. So the time to go from Albuquerque is 1270/1.18r

Answer 19

Ohh, I get it , Thank you!

Answer 20

So now you can add the two times to get the time of the round trip.

Answer 21

yw