This Article consist of most important questions of ” Time and Work Problems ” topic that are mostly asked in all competitive exams. We collected these questions from the students who appeared in exams. Now try to solve these questions.

**Question : 1 ** Kim can do a work 3 days while David can do the same work . What amount them finish the work together and get Rs.150. What is the share of Kim?

A. 30

B. 60

C. 70

D. 75

**Show Answer**

**Correct Answer : ** B

**Explanation : **

Kim’s wages : David wages = Kim’s 1 day’s work: David 1 day’s work = 1/3 : 1/2 = 2:3

Therefore Kim’s share = Rs. {2/5 *150} = Rs.60

Question : 2 A, B and C are employed to do a piece of work for Rs.529. A and B together are supposed to do 19/23 of the work and Band C together 8/23 of the work. What amount should A be paid?

A. Rs.315

B. Rs.345

C. Rs.355

D. Rs.375

**Show Answer**

**Correct Answer : ** B

**Explanation : **

work done by A = {1 – 8/23} = 15/23

Therefore : A:{B+C} = 15/23 : 8/23 = 15/8

SO, A’s share = Rs. {15/23 * 529} = Rs. 345.

Question : 3 A and B together can do a piece of work in 12 days . which B and C together can do in 16 days . After A has been working at it for 5 days and B for 7 days, C finished it in 13 days . In how many days C alone will do the work.

A. 16

B. 24

C. 36

D. 48

**Show Answer**

**Correct Answer : ** B

**Explanation : **

A’s 5 days work + B’s 7 days work + C’s 13 days work=1

Therefore : {A+B}’s 5 days work + {B+C}’s 2 days work + C’s 11 days work = 1 days

Therefore : 5/12 + 2/16 + C’s 11 days work = 1

C’s 11 days work = 1 – {5/12} + {2/16} = 11/24

Therefore : C’s 1 days work {11/24} * {1/11} = 1/24

C alone can finish the work in 24 days

Question : 4 5 men and 2 boys working together can do four times as much work as man and a boy. Working capacities of a womenand a boy are in the ratio:

A. 1:2

B. 2:1

C. 1:3

D. 3:1

**Show Answer**

**Correct Answer : ** B

**Explanation : **

Let 1 men’s 1 day’s work = x and 1 boy’s 1 day’s work = y.

Then , 5x + 2y = 4 {x + y}

x = 2y

x/y = 2/1

2 : 1

**Question : 5 ** A can finish a work in 18 days and B can do the same work in half the time takes by A. Then, working together , What part of the same work they can finish an a days .

A. 1/6

B. 1/9

C. 2/5

D. 2/7

**Show Answer**

**Correct Answer : ** B

**Explanation : **

A’s 1 days work = 1/18 and B’s 1 DAYS WORK = 1/9

Therefore {A+B}’s 1 days work = {1+18}+{1/9} = 1/6.

**Question : 6** A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

A. 1/4

B. 1/10

C. 7/15

D. 8/15

**Show Answer**

**Correct Answer : ** D

**Explanation : **

A’s 1 day’s work = 1/15

B’s 1 day’s work = 1/20

(A + B)’s 1 day’s work = (1/15 + 1/20) = 7/60

(A + B)’s 4 day’s work = ( 7/60 x 4 ) = 7/15

Therefore, Remaining work = ( 1 – 7/15 ) = 8/15

**Question : 7** Sakshi can do a piece of work in 20 days . Tanya in 25% more efficient then sakshi . The number of days taken by tamya to do the same piece of work is:

A. 15 days

B. 16 days

C. 18 days

D. 25 days

**Show Answer**

**Correct Answer : ** A

**Explanation : **

Ratio of same taken by sakshi and Tanya = 125 : 100 5:4

supoose Tanya taken x days to do work .

5:4 20:x = {4 * 20/5}

x = 16 days

**Question : 8 ** A does A work in 10 days and B does the same work in 15 days. In how many days they together will do the same work ?

A. 5 days

B. 6 days

C. 8 days

D. 9

**Show Answer**

**Correct Answer : ** B

**Explanation : **

A’s 1 days work = 1/10 and B’s 1 days work= 1/15

Therefore {A+B}’s 1 days work = {1/10}+}{1/15} = 1/6

so, both together will finish the work in 6 days.

**Question : 9 ** A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is le

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

A. 12 days

B. 15 days

C. 16 days

D. 18 days

**Show Answer**

**Correct Answer : ** B

**Explanation : **

A’s 2 day’s work = (1/20) x 10 = 1/10

(A + B + C)’s 1 day’s work =

{(1/20) + (1/30) + (1/60)} = 6/60 = 1/10

Work done in 3 days = {(1/10) + (1/10)} = 1/5

Now, 1/5 work is done in 3 days.

Whole work will be done in (3 x 5) = 15 days.

**Question : 10 ** 12 men a complete a work in 9 days. After they have worked for 6 days , 6 more men join them. How many days take to complete the remaining work?

A. 2 days

B. 3 days

C. 4 days

D. None of these

**Show Answer**

**Correct Answer : ** A

**Explanation : **

1 men’s 1 day’s work = 1/108

12 men’s 6 day’s work = {1/9 * 6} = 2/3 remaining work = {1 – 2/3} = 1/3

18 men’s 1 day’s work {1/108 * 18} = 1/6

1/6 work is done by them in 1 day.

Therefore 1/3 work is done by them in {6 * 1/3} =

2 days