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A man can walk uphill at the rate of $$2\frac{1}{2}$$ km/hr and downhill at the rate of $$3\frac{1}{4}$$ km/hr. If the total time required to walk a certain distance up the hill and return to the starting point was 4 hr 36 min, then what was the distance walked up the hill by the man ?
Options:
A .  4 km
B .  $$4\frac{1}{2}$$ km
C .  $$5\frac{1}{2}$$ km
D .  $$6\frac{1}{2}$$ km
Answer: Option D

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