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A, B and C start together from the same place to walk round a circular path of length 12km. A walks at the rate of 4 km/h, B 3 km/h and C 3/2 km/h. They will meet together at the starting place at the end of:

A, B and C start together from the same place to walk round a circular path of length 12km. A walks at the rate of 4 km/h, B 3 km/h and C $$\frac{3}{2}$$ km/h. They will meet together at the starting place at the end of:
a) 10 hours
a) 10 hours
b) 12 hours
c) 15 hours
d) 24 hours

Answer: d
Explanation: Time taken to complete the revolution:
A → $$\frac{{12}}{{4}}$$ = 3 hours
B → $$\frac{{12}}{{3}}$$ = 4 hours
C → 12 × $$\frac{{2}}{{3}}$$ = 8 hours
Required time
= LCM of 3, 4, 8
= 24 hours

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