SOLUTION: Khang and Hector live 32 miles apart in southeastern Missouri. They decide to bicycle towards each other and meet somewhere in between. Hector's rate of speed is 60% of Khang's. Th

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Question 324806: Khang and Hector live 32 miles apart in southeastern Missouri. They decide to bicycle towards each other and meet somewhere in between. Hector's rate of speed is 60% of Khang's. They start out at the same time and meet 2 hours later. Find Hector's rate of speed.
Answer by stanbon(75887) About Me  (Show Source):
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Khang and Hector live 32 miles apart in southeastern Missouri. They decide to bicycle towards each other and meet somewhere in between. Hector's rate of speed is 60% of Khang's. They start out at the same time and meet 2 hours later. Find Hector's rate of speed
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Hector DATA:
rate = 0.6x mph ; time = 2 hrs ; distance = rt = 1.2x miles
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Khang DATA:
rate = x mph ; time = 2 hrs ; distance = rt = 2x miles
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Equation:
dist + dist = 32
1.2x + 2x = 32
3.2x = 32
x = 10 mph (Khang's speed)
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0.6x = 6 mph (Hector's speed)
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Cheers,
Stan H.