1.

parately fill a cistern in 15 hours and 20 hours respectively. There is a third30 hours. In how mucc al the three pipes are simultaneously opened, then the cistern is filled9. Two pipes A and B can sepipe at the bottom to empty it. Ifpipes are simpipe alone can empty the cistern?

Answer»

In such kind of questions, take the LCM of 12,15 i.e. 60. Assume 60 ltrs is the capacity of cistern.Now, the rate of filling for pipe P- 60/12 = 5 ltrs per min.the rate of filling for pipe Q- 60/15 = 4 ltrs per min

So at the end of 3 mins, the cistern will have - 15 ltrs (From pipe P-5X3) +12 ltrs (From pipe Q-4X3) =27 ltrs

At the end of 3 mins, cistern will have remaining capacity of33 ltrs (60 ltrs- 27 ltrs)

As only pipe Q will fill the cistern = 33/4 = 8.25 mins =8 mins 15 seconds.

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