three pipes A,B andC can fill a swimming pool in 6 hours.after working on it together for 2 hours,C is closed and A and B fill the remaining part in 7 hours.find the number of hours taken by C alone to fill the swimming pool
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Step-by-step explanation:
three pipes A,B andC can fill a swimming pool in 6 hours.after working on it together for 2 hours,C is closed and A and B fill the remaining part in 7 hours.find the number of hours taken by C alone to fill the swimming pool
Answered by
1
14 Hours.
Step-by-step explanation:
Part filled in 2 hour = 2/3 = 1/3
Remaining part = 2/3
(A+B)'s 7 hour's work = 2/3
So,(A+B)'s 1 hr work = 2/21
Therefore, C's 1 hour work,
= [(A+B+C)'s 1 hour] - [(A+B)'s 1hr work]
= (1/6 - 2/21) = 1/14.
Therefore, C can fill the pool in 14 hours.
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