Three men A, B and C working together can do a job in 6 hours less time then A alone, in 1 hour less time than B alone and in one half the time needed by C when working alone. Then A and B together can do the job in :
[A] \frac{2}{3}\ hour
[B] \frac{3}{4}\ hour
[C] \frac{3}{2}\ hour
[D] \frac{4}{3}\ hour

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This question is part of UPSC Prelims Practice and Mock Tests membership programme.