Three pipes A, B and C can fill a cistern in 8 minutes,12 minutes and 16 minutes respectively. What is the time taken by three pipes to fill the cistern when they are opened together?

QuestionThree pipes A, B and C can fill a cistern in 8 minutes,12 minutes and 16 minutes respectively. What is the time taken by three pipes to fill the cistern when they are opened together?
Typemultiple_choice
Option3.7 minutescorrect
Option4 minutesincorrect
Option4.5 minutesincorrect
Option5 minutesincorrect
Solution :

Part of the tank filled by A in one minute = 1/8

Part of the tank filled by B in one minute =  1/12

Part of the tank filled by C in one minute = 1/16

Net part of the tank filled by A+B+C in one minute;

= 1/8 + 1/12 + 1/16

13/48 Part of the cistern is filled in one minute.

∴ The whole tank will be filled in  48/13 3.7 minutes

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