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

Question : 1

Pipes P and Q can fill a tank in 10 and 12 hours respectively and C can empty it in 6 hours. If all the three are opened at 7 a.m., at what time will one-fourth of the tank be filled ?

a) 11 p.m.

b) 10 a.m.

c) 11 a.m.

d) 10 p.m.

Question : 2

$3/4$ 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

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

If $3/5$ th of a cistern is filled in 1 minute, the time needed to fill the rest is

a) 36 sec

b) 40 sec

c) 24 sec

d) 30 sec

Question : 5

20 buckets can fill a tank when the capacity of each bucket is 12 liters. If the capacity of each bucket is 10 liters, find the number of buckets required to fill the tank.

a) 30 buckets

b) 34 buckets

c) 24 buckets

d) 27 buckets

Question : 6

Pipe A can fill the tank 3 times faster in comparison to pipe B. It takes 36 minutes for pipe A and B to fill the tank together. How much time will pipe B alone take to fill the tank?

a) 100 minutes

b) 124 minutes

c) 134 minutes

d) 144 minutes

e) 154 minutes