Q3 of 47 Page 172

A and B, working together can finish a piece of work in 6 days, while A alone can do it in 9 days. How much time will B alone take to finish it?

Number of days A required do a piece of work : 9 days


Let number of days B required do a piece of work : X days


Number of hours required by A and B together to do a piece of work : 6 days


Work done by A in one day:


Work done by B in one day:


Work done by A and B together in a day :


Work done by A and B together in one day : = =



⇒ 6X + 54 = 9X


⇒ 3X = 54


⇒ X = 54/3 = 18


B can do the work 18 days


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