Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 6 hours. The number of hours taken by C alone to fill the tank is:
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
3 (18 hours)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Solution:
A, B and C together can fill
in one hour = 1/6 in two hours = 2/6 = 1/3
the remaining part is = 1 - 1/3 = 2/3
in 6 hours, A and B can do = 2/3
so, in one hour A and B can do = 2/(3 × 6) = 2/18
so, C can do in one hour = (A, B and C in one hour) - (A and B in one hour)
= 1/6 - 2/18
= 1/18
hence, C take 18 hours to fill the tank