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

Question : 1

$3/4$ 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 : 2

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 : 3

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 : 4

There are two pumps to fill a tank with water. First pump can fill the empty tank in 8 hours, while the second in 10 hours. If both the pumps are opened at the same time and kept open for 4 hours, the part of tank that will be filled up is :

a) $2/5$

b) $9/10$

c) $1/54$

d) $1/10$

Question : 5

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 : 6

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