Time and Work Questions for CLAT 2027: Download Free PDF

Time and Work Questions for CLAT 2027: Free PDF Download

CLAT 2027 aspirants can download the PDF and practise Time and Work questions to understand important concepts, formulas, tips and question types.

What is Time and Work?

The problems of Time & Work are concerned with the inter-dependence of work, time and efficiency.

In case a person does a certain work in 10 days, the amount of work done by the person in one day will be:

• 1/10 of the work

This is known as one-day work of the person.

Thus, for instance, in case A takes 12 days to finish some work:

• One day’s work of A = 1/12

Hence, in 3 days, A does:

• 3 × 1/12 = 1/4 of the work

This is the basic principle of the Time & Work problem.

Important Time and Work Formulas for CLAT 2027

The CLAT 2027 candidates must keep in mind the following formulas:

• Work = Efficiency × Time

• Work in one day = 1/No. of days needed

• If A finishes the work in x days, the work done by A in one day = 1/x

• Work done by A and B per day = Work done by A per day + Work done by B per day

• Time = Total work/Daily work

If efficiency is increased, then the time taken will decrease.

• One day's work of A = 1/10

• One day's work of B = 1/15

Total work done by both in one day:

1/10 + 1/15 = 5/30 = 1/6

So, they will take 6 days to finish the work.

Types of Time and Work Questions Asked in CLAT

Given below are the Types of Time and Work Questions Asked in CLAT 2027.

1. Work Done by an Individual

This set of questions determines how long it takes an individual to do a certain task.

For instance, if A does a work in 8 days, then A will do 1/8 of that work in a day.

This becomes helpful when the problem asks for the work done by A in a certain period of days.

2. Work Done by Two or More People Together

Here, the questions entail two or more people working on the same task.

For instance, if A does a task in 12 days and B does it in 18 days,

then their combined work in a day is:

1/12 + 1/18 = 5/36

It means that the time taken is:

36/5 = 7.2 days

3. Efficiency-Based Questions

Efficiency means the amount of work done in a particular time period by an individual.

If the efficiency of A is twice that of B, then A will take half the time taken by B to do the same work.

So, for instance, if B takes 20 days, then A will take:

20 ÷ 2 = 10 days

Thus, efficiency and time are inversely proportional to each other when total work is constant.

4. Work Done in Different Number of Days

Other questions may require candidates to compute the amount of work done in a given period of time.

For instance, if A does a job in 20 days, then in 5 days:

Work done = 5/20 = 1/4

Thus, the work left will be:

1 - 1/4 = 3/4

5. Men, Women and Machines

Problems involving Time and Work can be based on comparing the efficiencies of various workers or machinery.

Suppose that one machine takes 6 hours to do a job while another machine does the same job in 12 hours; their combined efficiency can be computed using the addition of their respective efficiencies.

It is imperative for CLAT 2027 students to determine whether the problem involves comparison of workers, efficiency, or time.

How to Solve Time and Work Questions Faster

CLAT 2027 is a time-bounded exam; thus, candidates must ensure that they don’t indulge in long-drawn calculations. Begin by converting the information provided into one-day work or work rate.

For instance, if A can do the work in 15 days while B can do it in 10 days, write the following:

• A = 1/15

• B = 1/10

The two can then add up the fractions to obtain their work rate. An important technique is the LCM technique. For instance, if A does the work in 12 days while B does it in 18 days, take the total amount of work as the LCM of 12 and 18, which is 36 units.

• Efficiency of A = 36/12 = 3 units/day

• Efficiency of B = 36/18 = 2 units/day

Thus, they can complete 5 units of work per day, and hence need:

36/5 = 7.2 days

Common Mistakes to Avoid in Time and Work Questions

The CLAT 2027 candidates need to be cautious of the following mistakes:

• Taking the number of days for one day's work.

• Taking the number of days for work rates.

• Not taking into account the fact that time and efficiency are inversely proportional.

• Taking the wrong LCM while using the unitary work method.

• Neglecting the work done by one person beforehand.

• Neglecting the case of a person leaving or joining the job.

• Errors in calculating fractions.

• Spending too much time on a difficult problem.

First, find out what the problem demands and then calculate.

Time and Work Preparation Strategy for CLAT 2027

The candidates must know how work, efficiency, and time are related. Practice simple questions for one individual before proceeding to questions for two or more individuals.

Having understood the basic concepts, practice questions based on efficiency, joining and leaving of workers, and combined work. CLAT 2027 Candidates should also try to solve mixed CLAT 2027 Quantitative Techniques practice questions.

Preparing a formula sheet might prove helpful while revising. But the candidates should give importance to understanding the logic behind the formulas rather than mechanically learning them.

After attempting a CLAT 2027 mock test or practice test, analyse all the wrong answers. If an error has been made because of fractions, unitary work, and efficiency, then practice those particular concepts.

As the wrong answer is penalised by 0.25 marks in CLAT 2027, accuracy is equally important along with speed.

Time and Work Practice Questions for CLAT 2027

Q1. A can complete a piece of work in 12 days, and B can complete it in 18 days. How many days will they take to complete the work together?

A) 6 days
B) 7.2 days
C) 8 days
D) 9 days

Answer: B) 7.2 days

Q2. A can complete a work in 20 days. What fraction of the work will A complete in 5 days?

A) 1/2
B) 1/3
C) 1/4
D) 1/5

Answer: C) 1/4

Q3. A is twice as efficient as B. If B takes 24 days to complete a work, how many days will A take?

A) 6 days
B) 8 days
C) 12 days
D) 18 days

Answer: C) 12 days