SOLUTION: on a business trip,dana traveled to her destination at an average speed of 55 miles per hour.coming home,her average speed was 45mph and the trip took two hours longer.how many hou

Algebra ->  Equations -> SOLUTION: on a business trip,dana traveled to her destination at an average speed of 55 miles per hour.coming home,her average speed was 45mph and the trip took two hours longer.how many hou      Log On


   

Question 166786: on a business trip,dana traveled to her destination at an average speed of 55 miles per hour.coming home,her average speed was 45mph and the trip took two hours longer.how many hours did she travel alltogether?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
on a business trip,dana traveled to her destination at an average speed of 55 miles per hour.coming home,her average speed was 45mph and the trip took two hours longer.how many hours did she travel alltogether?
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Going DATA:
rate = 55 mph ; time = x hrs ; distance = rt = 55x miles
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Coming DATA:
rate = 45 mph ; time = x+2 hrs ; distance = rt = 45(x+2)
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go distance = come distance
55x = 45(x+2)
55x = 45x + 90
10x = 90
x= 9 hours
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Total distance = 55x + 45x + 90 = 100x + 90 = 990 miles
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Cheers,
Stan H.