A and B can do a piece of work alone in 15 and 30 days respectively. In how many days can they together complete the work?
A and B can do a piece of work alone in 15 and 30 days respectively.
LCM of 15 and 30 is 30 which can be assumed as the total work.
The efficiency of A =Â $$\frac{30}{15}$$ = 2 units/day
The efficiency of B = $$\frac{30}{30}$$ = 1 unit/day
Time is taken by A and B together to complete the work = $$\frac{30}{\left(1+2\right)}$$
=Â $$\frac{30}{3}$$
= 10 days
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