SOLUTION: Hans drives 18 kilometers from his house to his work and returns home along the same route. His total trip from home to work and back, not counting the time he stays at work, is 4

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Question 890395: Hans drives 18 kilometers from his house to his work and returns home along the same route. His total trip from home to work and back, not counting the time he stays at work, is 40 minutes. If his average rate from home to work is triple his average rate from work to home, what is his average rate from work to home in kilometers per hour?
Answer by lwsshak3(11628) About Me  (Show Source):
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Hans drives 18 kilometers from his house to his work and returns home along the same route. His total trip from home to work and back, not counting the time he stays at work, is 40 minutes. If his average rate from home to work is triple his average rate from work to home, what is his average rate from work to home in kilometers per hour?
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let x=rate of speed from work to home
3x=rate of speed from home to work
travel time=distance/speed
18%2Fx%2B18%2F3x=40%2F60
18%2Fx%2B18%2F3x=2%2F3
lcd:3x
54+18=2x
2x=72
x=36
average rate of speed from work to home=36 km/hr