Time and Work Questions in Quantitative Aptitude section for SBI PO, IBPS PO, LIC, RBI, IPPB and other banking and insurance exams.

**Directions (1-3):** 18 men can complete a work in X days and 22 women can complete the same work in (X+5) days. The ratio of work done by 14 men and 11 women in same time is 8 : 3.

- Find the value of X.

A) 7 days

B) 8 days

C) 6 days

D) 9 days

E) 12 days

- 6 men and 8 women work for 7 days on the same work and the remaining work is completed by 20 boys in 11 days. Find the number of days in which 25 boys can complete the whole work.

A) 7 days

B) 6 days

C) 4 days

D) 5 days

E) 3 days

- Find the ratio of efficiencies of 6 men and 8 women together and 9 men and 6 women together.

A) 34 : 23

B) 25 : 31

C) 24 : 29

D) 29 : 22

E) None of these

- A can complete the work in 60% less time than B. Beginning with the second day, the amount of work which can they do keeps of doubling. If in this way they can complete the work together in 2 days, then in how many days they can complete the work if their efficiencies remain constant?

A) 2.5 days

B) 3.5 days

C) 4 days

D) 3 days

E) 5 days

- 50 persons are employed to complete a work in 30 days working 12 hours each day. Due to some reason, they work for only 10 hours for the first 15 days. After this, 10 persons leave the work and rest continues the work as before. How many more days are needed to complete the work than the actually estimated time?

A) 11 1/4 days

B) 12 2/3 days

C) 10 1/2 days

D) 12 days

E) None of these

- A, B and C have to complete a work. They decide to divide work in the ratio 2 : 3 : 5 respectively. Their rates of work is in the ratio 1 : 2 : 3. If it takes 12 days by A to complete his part of work, then how much of work can they complete in 8 days?

A) 2/5

B) 4/7

C) 2/3

D) 4/5

E) 3/7

- There are two filling pipes A and B. If A fills bottom 3/4
^{th}tank and B fills the rest tank, then they can fill the tank in 18 minutes. If B fills bottom 3/4^{th}tank and A fills the rest tank, then they can fill the tank in 22 minutes. What is the time taken by both the pipes to fill the tank together?

A) 8 1/4 minutes

B) 10 1/3 minutes

C) 9 3/5 minutes

D) 10 3/5 minutes

E) None of these

- An emptying pipe A can empty the tank in 30 minutes. It is opened in a tank which is full of water. After 12 minutes another pipe B which can fill the tank in 15 minutes is also opened. In what total time will the tank get filled again?

A) 8 minutes

B) 12 minutes

C) 15 minutes

D) 20 minutes

E) 24 minutes

- 2 groups A and B contain some people each. Efficiencies of all people in group A is same while that in group B is same. 3 workers from group A and 6 from group B can complete the work in 20 days. 8 workers from group A and 4 from group B can complete the work in 10 days. Find the number of days in which 1 person from each group can complete the work working together.

A) 96 days

B) 72 days

C) 90 days

D) 54 days

E) None of these

- A and B can complete a work in 12 and 20 days respectively. After 4 days, they are joined by C who can complete the same work in 24 days, how much work will remain uncompleted after 2 more days?

A) 53/60

B) 41/60

C) 13/60

D) 11/60

E) 7/60