SOLUTION: please help me solve this [[[ Randy drove from his home to Dallas at an average of 50 mph. One the return trip he drove at an average speed of 55 mph. The return trip took Randy 1

Question 641481: please help me solve this [[[ Randy drove from his home to Dallas at an average of 50 mph. One the return trip he drove at an average speed of 55 mph. The return trip took Randy 1 hour less than the trip to Dallas. Write an algebraic equation to model this problem and the deterimine how many total hours he traveld ? ]]]
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Randy drove from his home to Dallas at an average of 50 mph. One the return trip he drove at an average speed of 55 mph. The return trip took Randy 1 hour less than the trip to Dallas. Write an algebraic equation to model this problem and the determine how many total hours he traveled ?
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Home to Dallas DATA:
rate = 50 mph ; time = x hrs ; distance = r*t = 50x miles
-----
Dallas to Home DATA:
rate = 55 mph ; time = x-1 hrs ; distance = r*t = 55(x-1)
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Equation:
distance = distance
50x = 55(x-1)
50x = 55x - 55
5x = 55
x = 11 hrs
x-1 = 10 hrs
--------
Total time = 11+10 = 21 hrs
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Cheers,
Stan H.
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