There is a leak in the bottom of a cistern. When the cistern
is thoroughly repaired, it would be filled in 3 ? hours. It
now takes half an hour longer. If the cistern is full, how
long will the leak take to empty the cistern?
(a) 24 hours
(b) 28 hours
(c) 21 hours
(d) 27 hours
(e) None of these
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Answer Posted / mohit
suppose the capacity of cistern is 30unit. when it id repaired
then takes 3 hrs.thus water coming in i hrs=10unit.
now leak tank takes 3 hrs and 1/2 hrs extra. that is, in
general think that the water filling in 1/2 hrs is equal to
the leakage of hole in 3.5 hrs.
leakage in 3.5 hrs is =10/2=5 unit
so 5 unit is leakad in =3.5 hrs
so 30unit(full capacity) is leaked in =3.5*30/5
=21 hrs
so it will take 21 hrs to empty the full cistern.
| Is This Answer Correct ? | 25 Yes | 15 No |
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