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Question:-
Three pipes A,B and C can fills a tank in 12 hours, 15 hours and 20 hours respectively. How long would the three pipes take to fill the empty tank, if all of them are opened together?
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Answers
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Answer:
Answer is 7
Step-by-step explanation:
Tap A fills the tank in 12 hrs
tap A fills the tank in 1hour 1/12 of the tank
tapB fills the tank in 1 hour 1/15 and tap C fills the tank in 1hrs 1/20 of the tank .
in two hours 1/12+1/12+1/15+1/20 of the tank filled by A B C tap
=(5+5+4+3)/60=17/60
in 6 hrs 3×(17/60) =51/60 of the tank will be filled .
remaining (1–51/60)=9/60 of the tank .
now A and B tap is running to fill the rest 9/60 of the tank .
1/12+1/15 =(5+4)/60=9/60 of the tank is filling by A and B in 1hour
so rest will filled up by A and B in 1 hour
total tank will be filled in (6+1)hour =7 hour
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