Pipe A can fill a tank in 8 hours, pipe B in 4 hours and pipe C in 24 hours. If all the pipes are open, in how many hours will the tank be filled?
Part filled by pipe A in 1 hour =$\dfrac{1}{8}$
Part filled by pipe B in 1 hour =$\dfrac{1}{4}$
Part filled by pipe C in 1 hour =$\dfrac{1}{24}$
Part filled by pipes A,B,C together in 1 hour=$\dfrac{1}{8}+\dfrac{1}{4}+\dfrac{1}{24}=\dfrac{10}{24}$
i.e, pipes A,B,C together can fill the tank in $\dfrac{24}{10}$ hour =2.4 hour.