two persons a and b working together can dig a trench in, Time & Work, General Mathematics

Question:Two persons A and B working together can dig a trench in 8 hours while A alone can dig it in 12 hours. In how many hours B alone can dig such a trench ?

Answer (A + B)'s 1 hour' s work `= 1/8` A's 1 hour's work `=1/12`

:. B' s 1 hour's work` = (1/8 - 1/12) = 1/24`

Hence B alone can dig the trench in 24 hours.

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Two persons A and B working together can dig a trench in 8 hours while A alone can dig it in 12 hours. In how many hours B alone can dig such a trench ?

Question:Two persons A and B working together can dig a trench in 8 hours while A alone can dig it in 12 hours. In how many hours B alone can dig such a trench ?

Answer (A + B)'s 1 hour' s work `= 1/8` A's 1 hour's work `=1/12` :. B' s 1 hour's work` = (1/8 - 1/12) = 1/24` Hence B alone can dig the trench in 24 hours.