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Time and Work questions are a very common type of questions asked in almost every competitive exam. These questions carry a weightage of 2-3 questions (4-6 marks) in SSC exams and 1-2 questions in bank exams. To get a good rank in competitive exams, you should have a good hold on the concepts of Time, Work and Efficiency.

Here are some tips for solving Time and Work questions: Use LCM method to determine work, read carefully what is asked in the question, try making calculations easy by avoiding using fractions, Use shortcuts and formulas. 

So, we have attached 10 questions of Time and Work for you to practice with. You should aim to solve these questions in less than half a minute for each.

 

<h2 id="content-id-1701053265021-0">Practice Questions on Time and Work</h2>

You can also download the Time and Work questions and answers pdf. Just click on the Download PDF button. So let's start with the very first question.

Q:1 A and B can complete a piece of work in 12 days, B and C can do in 15 days and C and A in 20 days. Find the total time taken by C, if he/she completes the whole work alone.

1. 60 days

2. 45 days

3. 30 days

4. 100 days

(Difficulty: 3, Estimated Time: 20 Seconds) This was a test of your concepts!

Q:2 B is half as efficient as A. C is 2/5th as efficient as A and B together. If they three together can complete the work in 20 days, what will the time taken (in days) for A to complete the work alone?

1. 21

2. 28

3. 36

4. 42

(Difficulty: 3, Estimated Time: 20 Seconds) Try using short tricks, they will save your time

Q:3 24 men and 36 women can do a certain work in one day whereas 6 men and 12 women can do it in 3.5 days. The number of women required to do the same work in 6 days is:

1. 14

2. 16

3. 10

4. 24

(Difficulty: 2, Estimated Time: 10 Seconds) This was an easy one! Did you get it right?

Q:4 5 men, 10 women, and 5 children can complete a piece of work in 4, 3, and 8 days respectively. If 4 men, 3 women, and 8 children work on the project, how many days will it take for the work to be complete?

1. 1

2. 2

3. 3

4. 4

(Difficulty: 3, Estimated Time: 20 Seconds) A basic one! These type of questions are very common

Q:5 15 men can do a piece of work in 60 days working 8 hours a day. They start the work, but after 12 days, they are replaced by 40 women who work 6 hours a day. Find the total number of days in which work will be completed provided 3 women will do work equal to 2 men at the same time?

1. 36 days

2. 48 days

3. 56 days

4. 66 days

(Difficulty: 3, Estimated Time: 20 Seconds) We're halfway through. Have you got all your questions correct so far?

Q:6 5 men start working a project (8 hrs/day) and continue so for 4 days. Later on 5th day, 3 more men join the team and all started to work for 10 hrs/day due to which they complete the project 1 day before the expected time. What is the time taken for a man (in days) working for 8 hrs/day to complete the work?

1. 20

2. 30

3. 40

4. 45

(Difficulty: 4, Estimated Time: 30 Seconds) This was a hard nut to crack, be prepared for such questions in exam!

Q:7 X and Y together can complete the work in 6 days. If X and Y complete the work in 9/4 days with the help of 2 other persons A and B whose efficiency ratio is 2 : 3 then find the share of B out of the total money of Rs. 4000 given for this work.

1. Rs. 1500

2. Rs. 1200

3. Rs. 1600

4. Rs. 2000

(Difficulty: 3, Estimated Time: 20 Seconds) Be ready for such questions in your exams!

Q:8 A can do a piece of work in 12 days; B in 18 days. They work for 6 days and rest of the work was finished by C in 3 days. If they get Rs 1800 for the whole work, find the daily wages (in Rs.) of A, B, and C respectively.

1. 100, 150, 100

2. 125, 125, 150

3. 150, 100, 100

4. 160, 130, 130

(Difficulty: 2, Estimated Time: 15 Seconds) This was an interesting question!

Q:9 A, B and C are working on a single project such that they work one by one in the ascending order of their names. If they are paid in the same ratio as the amount of work they do, find the ratio of earnings of A and B given that A, B and C can complete the work alone in 13, 12 and 39 days respectively.

1. 55 : 67

2. 37 : 60

3. 67 : 93

4. 71 : 65

(Difficulty: 3, Estimated Time: 20 Seconds) If you have a good understanding, you might have wrapped it up in 10 seconds!

Q:10 Work can be completed by 7 men working 6 hours/day in 20 days. Every day the total wage paid is Rs 4200. If 8 men work for 5 hours per day, what should be the wage (in Rs) paid to each

man after the work is completed?

1. Rs 8400

2. Rs 10500

3. Rs 12000

4. Rs 14000

(Difficulty: 2, Estimated Time: 15 Seconds) This was an easy one. Did you guess them all correctly?

<h2 id="content-id-1701053265038-1">Answer Key</h2>

Let's check out your score in this test.

<table border="0" cellpadding="1" cellspacing="1">
	<tbody>
		<tr>
			<td>1. (1)</td>
			<td>2. (4)</td>
			<td>3. (1)</td>
			<td>4. (2)</td>
			<td>5. (2)</td>
		</tr>
		<tr>
			<td>6. (2)</td>
			<td>7. (1)</td>
			<td>8. (3)</td>
			<td>9. (4)</td>
			<td>10. (2)</td>
		</tr>
	</tbody>
</table>

Comment below your score, considering each question has 1 mark only. If you scored 8 to 10, congratulations! You are one step closer to selection. If you have scored 5 to 8 marks, then you are doing well, keep it up. If you have scored less than 5 marks then you need to work a little harder on this subject. But don't worry, we are here to help you master the subject.

Let's check the answers and solutions and try to find out what went wrong. 
 

<h2 id="content-id-1701053265038-2">Answers and Solutions</h2>

Q:1 The correct answer is option 1 i.e. 60 days

Let,

A + B = 12 d

B + C = 15 d

C + A = 20 d

Total work = LCM of 12, 15 and 20 = 60 units

(A + B)'s efficiency = 60/12 = 5 .....(i)

(B + C)'s efficiency = 60/15 = 4 .......(ii)

(A + C)'s efficiency = 60/20 = 3  ...(iii)

Add (i), (ii) and (iii)

2(A + B + C) = 5 + 4 + 3

⇒ (A + B + C)'s efficiency = 12/2 = 6

⇒ (5 + C)'s efficiency = 6 [from eq (i)]

⇒ C's efficiency = 6 - 5 = 1

Time required for C = Total work/Efficiency of C

= 60/1 = 60 days

 

Q:2 The correct answer is Option 4 i.e. 42.

Let the efficiency of A be 1

Efficiency of B = ½

Efficiency of C = 2/5 × (1 + ½) ⇒ 3/5

Time taken ∝ 1/Efficiency

Time taken by (A + B + C)/Time taken by A = Efficiency of A/ Efficiency of (A + B + C)

20/(Time taken by A) = 1/(1 + ½ + 3/5)

20/(Time taken by A) = 10/(21)

Time taken by A = 42 days

 

Q:3 The correct answer is Option 1 i.e. 14.

Let the efficiency of man be x and efficiency of woman be y.

According to the question -

(24x + 36y) × 1 = (6x + 12y) × 3.5

24x + 36y = 21x + 42y

24x - 21x = 42y - 36y

3x = 6y

x : y = 2 : 1

Total work = (6x + 12y) × 3.5 = (6 × 2 + 12 × 1) × 3.5 = (12 + 12) × 3.5 = 24 × 3.5 = 84 units

Let n women required to do the same work in 6 days.

n × 6 = 84

n = 84/6 = 14

 

Q:4 The correct answer is Option 2 i.e. 2.

If 5 men can work in 4 days, then 4 men can complete the work in 5 days

If 10 women can complete the work in 3 days, 3 women can complete the work in 10 days

If 5 children can complete the work in 8 days, then 8 children can complete the work in 5 days

Amount of work completed in 4 men, 3 women, and 8 children in one day = 1/5 + 1/10 + 1/5

⇒ ½

Number of days taken to complete work = 2 days

 

Q:5 The correct answer is option 2 i.e. 48 days. 

In cases such as these, we must try to represent the total work in units of work

So, we will assume that 1 man does 3 units of work in 1 hour. (3 units in 1 hour because the question says that 3 women can do the same work as 2 men at the same time if we take 3 units for 1 man, then 1 woman will do 2 units in 1 hour)

Total work = 15 × 8 × 60 × 3 = 21600 units.

Fraction of work completed by men in 12 days = 12/60 = 1/5

Work remaining for women = (1 - 1/5) of 21600 units = 4/5 × 21600 = 17280 units

Let women take n days to complete the remaining work.

⇒ n × 2 × 40 × 6 = 17280

⇒ n = 1728/48

⇒ n = 36 days

Total days = 36 + 12 = 48 days

 

Q:6 The correct answer is option 2 i.e. 30

We know that,

(Men × hours × days)/work = constant

Let one man can do 1 unit work in one hour.

So, Work done for 4 days,

5 × 8 × 4 = 160 units

work done for next 'x + 1' days = 5 × 8 × (x + 1) = 40x + 40 units

So, Total work = 200 + 40x units ----- (1)

Now according to question,

8 × 10 × x = 80x

So, total work = 160 + 80x units ----- (2)

By (1) and (2),

200 + 40x = 160 + 80x

x = 1

So, total work = 240 units.

Now, for a man working 8 hours a day, work can be done in,

240/(8 × 1) = 30 days

 

Q:7 The correct answer is option 1 i.e. Rs. 1500.

X and Y together can complete the work in 6 days and X and Y complete the work in 9/4 days with the help of 2 other persons A and B.

Suppose total work = 18 units

Efficiency of (X + Y) = 18/6 = 3

Efficiency of (X + Y + A + B) = 18/(9/4) = 8

Hence, Efficiency of (A + B) = 8 – 3 = 5

Given, The ratio of efficiencies of A and B is 2 : 3

So, Efficiency of A = 2 And Efficiency of B = 3

Total money Rs. 4000 will be shared according to the efficiency

(X + Y) : A : B = 3 : 2 : 3

Hence, Share of B = 4000 × 3/8 = Rs. 1500

 

Q:8 The correct answer is Option 3 i.e. 150, 100, 100.

Part of the work done by A = (1/12) × 6 = (1/2)

Part of the work done by B = (1/18) × 6 = (1/3)

Part of the work done by c = 1 - (1/2 + 1/3) = (1/6)

So, ratio of their shares = A : B : C = 3 : 2 : 1

A's share = (1/2) × 1800 = 900

B's share = (1/3) × 1800 = 600

C's share = (1/6) × 1800 = 300

Hence, Daily wages of A = 900/6 = 150

Daily wages of B = 600/6 = 100

Daily wages of C = 300/3 = 100

 

Q:9 The correct answer is Option 4 i.e. 71 : 65. 

A can complete the whole work in = 13 days

B can complete the whole work in = 12 days

C can complete the whole work in = 39 days

Total work = LCM of 13, 12 and 39 = 156 units

Efficiency of A = 156/13 = 12 units

Efficiency of B = 156/12 = 13 units

Efficiency of C = 156/39 = 4 units

Now as they work one by one, work done by them is in the order A, then B and then C,

Thus work done in three days = 12 + 13 + 4 = 29 units

Work done in 15 (3 × 5) days = 29 × 5 = 145 units

Work left now = 156 - 145 = 11 units

This means that till each A, B and C will work for 5 days until 145 units work is done

Now after 15 days the turn will again be of A and he will complete the remaining 11 units of work in his 6th day

i.e All A, B and C worked with their full efficiency for 5 days each and A on its 6th day did the remaining 11 units of work

Thus work done by B = 5 × 13 = 65 units

Work done by A = 5 × 12 + 11 = 71 units

Since ratio of earnings = ratio of work done, 

Ratio of earnings of A and B = 71 : 65

 

Q:10 The correct answer is Option 2 i.e. Rs 10500.

Let the time taken by 8 men working for 5 hours per day to complete the work be x days

Total work completed ∝ Number of men × Working hour/day × Number of days

⇒ 7 × 6 × 20 = 8 × 5 × x

⇒ x = 21 days

Wage ∝ Number of men × Working hour/day × Number of days

For a day, when 7 men work for 6 hours per day

Wage = k × 7 × 6 × 1

⇒ 4200 = 42k

⇒ k = 100

The wage for 1 man working 5 hours per day for 21 days = k × 1 × 5 × 21

⇒ 100 × 105 = Rs 10500

So, this is it for today. We will meet again with another new topic. Till then, you can practice the questions again by downloading the PDF of Time and Work.

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Practice Questions on Time and Work!

Time and Work Questions with Solutions PDF

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