Model 2  Filling tank by parts or fractions Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

A cistern has two pipes. One can fill it with water in 8 hours and other can empty it in 5 hours. In how many hours will the cistern be emptied if both the pipes are opened together when $3/4$ of the cistern is already full of water ?

a) 6 hours

b) 13$1/3$ hours

c) 3$1/3$ hours

d) 10 hours

Question : 2

If $1/3$ of a tank holds 80 litres of water, then the quantity of water that $1/2$ tank holds is :

a) $80/3$ litres

b) 240 litres

c) 100 litres

d) 120 litres

Question : 3

Three pipes A, B and C can fill a tank in 6 hours, 9 hours and 12 hours respectively. B and C are opened for half an hour, then A is also opened. The time taken by the three pipes together to fill the remaining part of the tank is

a) 2$1/2$ hours

b) 3 hours

c) 3$1/2$ hours

d) 2 hours

Question : 4

$3/4$ part of a tank is full of water. When 30 litres of water is taken out, the tank becomes empty. The capacity of the tank is

a) 40 litres

b) 36 litres

c) 38 litres

d) 42 litres