SOLUTION: A man travels from one city to another city at the rate of 40 km/h. He returns at the rate of 60 km/h, If the trip takes 8 hours, how far apart the cities?

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Question 960798: A man travels from one city to another city at the rate of 40 km/h. He returns at the rate of 60 km/h, If the trip takes 8 hours, how far apart the cities?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
d=distance between cities
d%2F%2840km%2Fhr%29%2Bd%2F%2860km%2Fhr%29=8hrs Find common denominator
%281.5%2F1.5%29%28d%2F%2840km%2Fhr%29%29%2Bd%2F%2860km%2Fhr%29=8hrs
%281.5d%29%2F%2860km%2Fhr%29%2Bd%2F%2860km%2Fhr%29=8hrs
2.5d%2F%2860km%2Fhr%29=8hrs Multiply each side by (60km/hr).
2.5d=%288hrs%29%2860km%2Fhr%29
2.5d=480km Divide each side by 2.5.
d=192km ANSWER: The cities are 192 kilometers apart.
CHECK:
d%2F%2840km%2Fhr%29%2Bd%2F%2860km%2Fhr%29=8hrs
%28192km%29%2F%2840km%2Fhr%29%2B%28192km%29%2F%2860km%2Fhr%29=8hrs
4.8hrs%2B3.2hrs=8hrs
8hrs=8hrs