D drove at 55 mph out, 45 mph back; 2nd took 2 hrs longer

Jade89

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On a business trip Dana travelled to her destination at an average speed of 55 MPH. Coming home, her average speed was 45 Mph, and the trip took 2 hours longer. How many hours did she travel together?
Thank you
 
Re: How to write an equation and Solve this problem

Jade89 said:
On a business trip Dana travelled to her destination at an average speed of 55 MPH. Coming home, her average speed was 45 Mph, and the trip took 2 hours longer. How many hours did she travel together?
Thank you
Please show us your work, and exactly where you are stuck - so that we know where to begin to help you.

To start off - name your variables.

Use the equation:

distance = speed * time
 
Re: How to write an equation and Solve this problem

Thank you for your quick reply, I’m getting ready to take my GED, this is a question in my book, I don’t know where to start and how to write the equation and solve this problem. I truly appreciate your help
 
Re: How to write an equation and Solve this problem

Jade89 said:
Thank you for your quick reply, I’m getting ready to take my GED, this is a question in my book, I don’t know where to start and how to write the equation and solve this problem.
Jade, you were told to use equation distance = speed * time; works this way:

Since the distance to and back is the same, we can let the time to = t; then:
distance = 55 * t : to
distance = 45 * (t+2) : back
So:
55t = 45(t + 2) : finish it :idea:
 
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