In CAT, Time and Work questions have become important, as a result of the rise in the number of questions from arithmetic. There are many shortcut formulas and tricks, which are frequently used to solve CAT Time and Work questions in quick time. Alternatively, Time and Work problems can easily be solved by the concept of the LCM method.

Questions from Pipes and Cisterns also fall under Time and Work as the concept requires to solve such questions is the same as the concepts used to solve Time and Work Questions.

To apply the concepts to solve CAT problems on Time and Work, an aspirant must be good at Ratio & Proportion and Percentages. As the level of difficulty of the questions varies a lot, it is advisable to follow the below tips to construct a proper approach to Time and Work questions for CAT exam.

## Time and Work Tips to solve CAT questions:

- Assume the work to be the LCM of the numerical values given in the question.
- Get the one unit work for each of the participants who are mentioned in the question and are supposed to complete the work.
- Often the concepts of ratio and proportion are helpful in simplifying the complex calculations.
- If the options are provided, try testing the options backwards. The option which agrees with the conditions given in the question should be the right answer.

To give you ample practice, we have provided around 40 questions on Time and Work. These questions are of varied difficulty level. These Time and Work questions are divided into 8 practice exercises. The links of all these exercises are given at the bottom.

**Question 1:**

A work was completed by three persons of equal ability, first one doing m hours for m days, second one doing n hours for n days (m and n being integers) and third one doing 16 hours for 16 days. The work could have been completed in 29 days by third person alone with his respective working hours. If all of them do the work together with their respective working hours, then they can complete it in about

[1] 12 days

[2] 13 days

[3] 14 days

[4] 15 days

**Question 2:**

Three labourers worked together for 30 days, in the course of work, all of them remained absent for few days. One of them was absent for 10 days more than the second labourer and the third labourer did one-third of the total work. How many days more than the third labourer was the first one absent?

[1] 4

[2] 5

[3] 6

[4] cannot be determined

**Question 3:**

A and B do a work in exactly 16 days, B and C do the same work in exactly 12 days while C and A do the same work in about 10 days. If A, B and C can together do the work in integral number of days, then C does the work alone in

[1] 15 days

[2] 16 days

[3] 18 days

[4] none of these

**Question 4:**

Two persons A and B can do a work alone in 29 days. A takes the rest of one day after every 4 days and B takes the rest of one day after every 5 days. If A and B starts working together, then the work will be completed on

[1] 15th day

[2] 16th day

[3] 17th day

[4] 18th day

**Question 5:**

Works W1 and W2 are done by two persons A and B. A takes 80% more time to do the work W1 alone than he takes to do it together with B. How much percent more time B will take to do the work W2 alone than he takes to do it together with A?

[1] 100%

[2] 120%

[3] 125%

[4] can not be determined

**Question 6:**

12 men and 16 boys can do a piece of work in 5 days and 13 men and 24 boys can do it in 4 days. Compare the daily work done by a man with that done by a boy.

[1] 3 : 2

[2] 2 : 1

[3] 4 : 7

[4] 3 : 1

**Question 7:**

If 5 men and 3 boys can reap 23 hectares in 4 days and if 3 men and 2 boys can reap 7 hectares in 2 days, then how many boys must assist 7 men in order that they may reap 45 hectares in 6 days?

[1] 1

[2] 2

[3] 3

[4] 4

**Question 8:**

X can do a job in 10 days, Y in 15 days and Z in 18 days. Y and Z begin the work but have to leave after 3 days. How many days will X take to finish the job?

[1] 57/9 days

[2] 57/11 days

[3] 53/12 days

[4] 6.5 days

**Question 9:**

10 men and 12 children complete a certain piece of work in 10 days. Each child takes thrice the time taken by a man to complete the work. The time taken by 12 men to finish the same work is

[1] 11.66 days

[2] 10 days

[3] 10.33 days

[4] 12.16 days

**Question 10:**

5 men and 8 women can do a job in 8 days, while 4 men and 6 women can do it in 10 days. How many days will 10 women take to finish the job?

[1] 10 days

[2] 40 days

[3] 20 days

[4] None of these

**Question 11:**

To do a certain piece of work, B would take three times as long as A and C together and C twice as long as A and B together. The three men working together can complete the work in 10 days. How long would B take by himself to complete the same piece of work?

[1] 24 days

[2] 30 days

[3] 40 days

[4] 36 days

**Question 12:**

A and B working separately can finish a work in 8 and 12 days respectively. If they work for a day alternately (beginning with A), then in how many days will the work be completed?

[1] 9 days

[2] 9.5 days

[3] 10 days

[4] 9.8 days

**Question 13:**

Raman and Bose working separately can finish a work in 50 and 40 days respectively. They begin the work together and after 10 days, Bose goes away. In how many days will the work be completed by Raman alone?

[1] 27 days

[2] 28 days

[3] 350/17 days

[4] 55/2 days

**Question 14:**

Two men, A and B, working separately can mow a field in 10 and 12 hours respectively. If they work for an hour alternately, B beginning at 9 am, then at what time will the mowing be finished?

[1] 7:30 pm

[2] 8:00 pm

[3] 8:30 pm

[4] 9:00 pm

**Question 15:**

25 men can reap a field in 20 days. When should 15 men leave the work, if the whole field is to be reaped in 371/2 days after they leave the work?

[1] after 4 days

[2] after. 6 days

[3] after 5 days

[4] after 3 days

**Question 16:**

If A and B can do a piece of work in 8 days, B and C in 12 days and C and A in 16 ‘' days, then in how many days will C finish it when working alone?

[1] 80 days

[2] 36 days

[3] 96 days

[4] 88 days

**Question 17:**

A is twice as good a workman as B and together they finish a piece of work in 20 p days. In how many days can A alone finish the work?

[1] 30 days

[2] 25 days

[3] 20 days

[4] 32 days

**Question 18:**

The rates of working of A and B are in the ratio 4 : 5. What is the ratio of the number of days taken by them to finish a job when working separately?

[1] 2 : 3

[2] 3 : 2

[3] 5 : 4

[4] 4 : 3

**Question 19:**

Ram can do a piece of work in 20 days which Shyam can do in 30 days. They begin together with the condition that Ram shall leave the job 3 days before the actual completion of work. What is the total number of days required to complete the work?

[1] 14 days

[2] 19 days

[3] 27 days

[4] 9 days

**Question 20:**

Rama can do a piece of work in 10 days and Rami alone can do it in 5 days. Rama and Rami undertook to do it for Rs.400. With the help of their neighbour Snooty, they finished it in 2 days. The share of Snooty out of the remuneration is

[1] Rs.120

[2] Rs.200

[3] Rs.160

[4] Rs.180

**Question 21:**

Samtaprasad can do a piece of work in 50 days. He worked only for 5 days and was infected with Malaria and had to leave the job. Shantaprasad completed the remaining work in 30 days. The number of days, in which both together can complete the work is

[1] 22 days

[2] 20 days

[3] 25 days

[4] 27 days

**Question 22:**

25 days of Ram's wages can be paid by a certain sum of money. The same amount of money is sufficient to pay Badriprasad's wages for 20 days. The number of days for which the money will be sufficient to pay the wages of both if they work together is

[1] 10 days

[2] 11 days

[3] 100/9 days

[4] 110/9 days

**Question 23:**

Gagan is thrice as good a worker as Dilip and takes 8 days less to do a piece of work than Dilip. In how many days can Dilip do the complete work?

[1] 4 days

[2] 24 days

[3] 12 days

[4] 18 days

**Question 24:**

Billy is four times as good a workman as Silly and can build a wall in 45 days less than the number of days required by Silly. What is the time they will take, working together, to build two such walls?

[1] 12 days

[2] 24 days

[3] 9 days

[4] 18 days

**Question 25:**

X men can finish a job in 40 days. If 5 extra Men join them, the job takes 10 days less. What is the value of X?

[1] 15

[2] 20

[3] 10

[4] 18

**Question 26:**

A,B and c together earn Rs. 300 a day, while A and C together earn Rs.188 and B and C together earn Rs. 152 a day .What is the daily earning of C?

[1] Rs.15

[2] Rs.40

[3] Rs.60

[4] Rs.35

**Question 27:**

A and B together can do a piece of work In 6 days and A alone can do It in 9 day,. In how days B alone do it?

[1] 15 day

[2] 18 days

[3] 21 days

[4] 20 days

**Question 28:**

A alone can finish a job in 12 days and B alone can do It In 20.days. If they work together and finish it, then the share of A In total wages of Rs100 is

[1] Rs.56.25

[2] Rs.67.50

[3] Rs.62.50

[4] Rs.50

**Question 29:**

Two pipes, P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first Is turned off. How much longer will the cistern take to fill completely?

[1] 8.25 min

[2] 10 min

[3] 9 min

[4] 8.5 min

**Question 30:**

A certain number of men can do a work in 60 days. If there were 8 more men, it could be finished in 10 days less. How many men are there?

[1] 30

[2] 50

[3] 40

[4] 42

**Question 31:**

Two men undertake to do a piece of work for Rs.200. One alone could do it in 6 days, the other In 8 days. With the assistance of a boy they finish it in 3 clays. What Is the share of the boy?

[1] Rs.25

[2] Rs.50

[3] Rs.60

[4] Rs.30

**Question 32:**

A contract Is to be completed In 56 days and 104 men were set to work, each working 8 hours a day. After 30 days, 2/5 of the work Is finished. How many additional men may be employed so that work may be completed on time?

[1] 180 men

[2] 64 men

[3] 76 men

[4] 96 men

**Question 33:**

Two coal loading machines each working 12 hours per day for 8 days handles 9 tons of coal with an efficiency of 90%. While 3 other coal loading machines at an efficiency of 80% set to handle 12 tons of coal In 6 days. Find how many hours per day each should work?

[1] 12 hrs/day

[2] 16 hrs/day

[3] 20 hrs /day

[4] 18 hrs/day

**Question 34:**

If the cost of printing a book of 320 leaves with 21 lines On each page and on an average 11 words in each line is Rs.19, then find the cost of printing a book with 297 leaves,28 lines on each page and 10 words In each line.

[1] Rs \(22\frac{3}{8}\)

[2] Rs \(20\frac{3}{8}\)

[3] Rs \(21\frac{3}{8}\)

[4] Rs \(21\frac{3}{4}\)

**Question 35:**

A can do a job in 10 days. B can do in 12 days and C can do in 15 days. All begin together but A leaves the work after 2 days and B leaves 3 days before the work is finished. How long did the work last?

[1] 5 days

[2] 9 days

[3] 4 days

[4] 7 days

**Question 36:**

Three labourers started working together to complete a task in certain number of days. But in the course of work, they remained absent for few days due to some unavoidable circumstances and therefore the work wascompleted 3 days late. If the first and second labourers(assume that the wage per day are fixed and late completion of work did not affect it.) remained absent for 2 and 4 days more than the third labourer remained, then the third labourer remained absent for

[1] 1 day

[2] 2 days

[3] 3 days

[4] cannot be determined

**Question 37:**

Three labourers started working together to complete a task in certain number of days. But in the course of work, they remained absent for few days due to some unavoidable circumstances and therefore the work wascompleted 3 days late. If the first and second labourers(assume that the wage per day are fixed and late completion of work did not affect it.) got Rs 10 and Rs 20 less than the third labourer got, then the extra money the third labourer earned is

[1] Rs 10

[2] Rs 20

[3] Rs 30

[4] cannot be determined

**Question 38:**

Three labourers started working together to complete a task in certain number of days. But in the course of work, they remained absent for few days due to some unavoidable circumstances and therefore the work wascompleted 3 days late. If the first and second labourers(assume that the wage per day are fixed and late completion of work did not affect it.) Rs 80 and Rs 100 less than the third labourer got, then the wage per day per labourer is

[1] Rs 5

[2] Rs 10

[3] Rs 20

[4] cannot be determined

**Question 39:**

Three labourers started working together to complete a task in certain number of days. But in the course of work, they remained absent for few days due to some unavoidable circumstances and therefore the work wascompleted 3 days late. If the first and second labourers(assume that the wage per day are fixed and late completion of work did not affect it.) got Rs 15 and Rs 30 less than the third labourer got, then the third labourer remained absent for

[1] 0 days

[2] 1 days

[3] 2 days

[4] cannot be determined

**Question 40:**

Three labourers started working together to complete a task in certain number of days. But in the course of work, they remained absent for few days due to some unavoidable circumstances and therefore the work wascompleted 3 days late. If the first and second labourers(assume that the wage per day are fixed and late completion of work did not affect it.) got Rs x and Rs y less then the third labourer got, then which of the following value of (x, y) is feasible?

[1] (18, 24)

[2] (18, 30)

[3] (24, 30)

[4] all of these