SOLUTION: Wilma drove at an average speed of 50 mi/h from her home in Boston to visit her sister in Buffalo. She stayed in Buffalo 10 hours and, on the trip back, averaged 45 mi/h. She retur
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Question 642593: Wilma drove at an average speed of 50 mi/h from her home in Boston to visit her sister in Buffalo. She stayed in Buffalo 10 hours and, on the trip back, averaged 45 mi/h. She returned home 29 hours after leaving. How many miles is Buffalo from Boston? Found 2 solutions by lwsshak3, Alan3354:Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Wilma drove at an average speed of 50 mi/h from her home in Boston to visit her sister in Buffalo. She stayed in Buffalo 10 hours and, on the trip back, averaged 45 mi/h. She returned home 29 hours after leaving. How many miles is Buffalo from Boston?
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let x=distance between Buffalo and Boston
Travel time = distance/speed
..
x/50+10+x/45=29
x/50+x/45=29-10
x/50+x/45=19
LCD:50*45
45x+50x=19*50*45
95x=19*50*45
x=(19*50*45)/19=450
distance between Buffalo and Boston=450 miles
You can put this solution on YOUR website! Wilma drove at an average speed of 50 mi/h from her home in Boston to visit her sister in Buffalo. She stayed in Buffalo 10 hours and, on the trip back, averaged 45 mi/h. She returned home 29 hours after leaving. How many miles is Buffalo from Boston?
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Avg speed for the round trip is 2*50*45/(50+45) = 900/19 mi/hr
She drove 19 hours
d = r*t = (900/19)*19 = 900 miles RT
= 450 miles each way