Q9 of 47 Page 176

A pump can fill a cistern in 2 hours. Due to a leak in the tank it takes 2hours to fill it. The leak can empty the full tank in

A pipe can fill a cistern in: 2 hours


Let a leak empty the cistern in: X hours


Due to the leak time taken to fill the cistern : 2 = hours


Part of the cistern filled by pipe in one hour:


Part of the cistern emptied by leak in one hour:


=


=


=


X = 14 hours


Therefore the leak will empty the cistern in 14 hours.

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A can do a piece of work in 14 days and B is 40% more efficient than A. In how many days can B finish it?

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Fill in the blanks.

(i) A tap can fill a tank in 6 hours. The part of the tank filled in 1 hour is……………


(ii) A and B working together can finish a piece of work in 6 hours while A alone can do it in 9 hours. B alone can do it in ……….. hours.


(iii) A can do a work in 16 hours and B alone can do it in 24 hours. If A, B and C working together can finish it in 8 hours, then C alone can finish it in ……….. hours.


(iv) If A's one day's work is , then A can finish the whole work in……… days.