Time and Work for CLAT Exam
Time and Work is one of the topics asked in various Law tests in the Quantitative Section. It may also be combined with Data Interpretation Questions. Here, we will give you study tips with examples that should help you better understand this Time and Work topic better.
Time and Work for CLAT Exam: Formulas
Before we move on to the types of problems you may face in this article, understand the following formulas -
If A can do a piece of work in x days, A work in 1 day = 1 / x
If A day's work is 1 / x, A can complete a complete work in x days.
If A is x it works as well as B at that time
Average work done by A: B each = x: 1
The average time is taken by A and B individually to complete a task = 1: x
Time and Work for CLAT: Type of Questions to Prepare
Now let's look at the types of problems you may encounter under this article -
1. The first type of problem is the most basic one that can be asked - Calculation of time off work or vice versa. For example -
A takes 8 days to complete a task. It takes 10 days to complete the same task. How long will it take to finish the job when the two of them are working together?
Now for such questions, the 1-day work of A = 1 ⅛
1 day B activity = 1/10
Work done both A and B together in one day = 1/8 + 1/10 = 9/40
Therefore, A and B together will complete the work in 40/9 days.
Similarly, when n people are involved, you can follow the path above. For example,
B and C together can complete the task in 8 days. A and B together can complete the same task in 12 days and A and C together can complete it in 16 days. How many days can A, B, C complete the same task?
For this type of question, get a job for days A and B, B and C and A and C.
Activity for days B and C = 1/8 ----- (a)
Activity for days A and B = 1/12 ----- (b)
Activity for days A and C = 1/16 ------- (c)
Add (a), (b) and (c),
1-day work for B and C + 1-day work for A and B + day work for A and C = 1/8 + 1/12 + 1/16
2 * (1 day job A + B + C) = 13/48
1 day activity A + B + C = (13/48) / 2 = 13/96
Thus, the number of days taken by A, B, C to complete the task = 96/13.
2. Another type of problem you may face is when you need to get used to the time unit.
A can do a piece of work in 9 days by working 7 hours a day. B can do it in 7 days, working 6 hours a day. How long will it take them to complete the task together if they are both working 504 minutes a day?
In this type of question, as the time unit specified is not the same for both, so you need to get an A and B hour job.
A 1-hour activity = 1/9 * 7 = 1/63
1-hour B activity = 1/7 * 6 = 1/42
Now, A and B work for one hour = (1/63 + 1/42) = 5/126, i.e. they will finish work in 126/5 hours. But my question is, they work 504 minutes a day which is 504/60 hours a day. Thus, the number of days = (126/5) / (504/60) = 3 days.
3. Another type of problem you may face is based on efficiency. For example -
X can do a piece of work in 12 days. Y is 80% more efficient than X. How many days will Y take to complete the same task alone?
Now as per the question Y does the job 1.8 times more effectively than X (80% more).
Thus, the average time taken by X: Y = 1.8: 1 i.e. 12 / Y = 1.8 / 1
Y = 12 / 1.8 i.e. 20/3 days
4. Another case you could face is one person leaving the workplace. For example -
X can complete a piece of work in 18 days and Y can do the same job in 15 days. I worked for 10 days and quit my job. In how many days, X alone can complete the remaining work?
In this case, 1 day X function = 1/18, 1 day Y = = 1/15
Y work done in 10 days = 10 * 1/15 = 2/3
Remaining work = 1 -2/3 = 1/3
X completes 1/18 task in 1 day, so you will complete 1/3 task in = (1/3) / (1/18) = 6 days
5. You may also experience salary-based problems. For example,
X and Y make a piece of work for Rs.600. X alone can do it in 6 days while Y alone can do it in 8 days. With the help of Z, they complete it in 3 days. Find each part.
Now, in this question, we will get one day's work per person and the salary allocation will be divided by the average of their one day's work.
Z day activity Z = ⅓ - (⅙ + ⅛) = 1/24
X: Y: Z = ⅙: ⅛: 1/24 = 4: 3: 1
X assignment = 600 * (4/8) = 300
Assignment Y = 600 * (⅜) = 225
Z Z = 600 - (300 + 225) = 75
6. Another list of problems you may face is one that involves more than 2 kinds of people. For example,
2 women and 3 girls can do a piece of work in 10 days while 3 women and 2 girls can do the same work in 8 days. In how many days can two women and 1 girl do the job?
For such questions, let us imagine that one day's work for one woman = x and one day's work for one girl = y
Now, 2x + 3y = 1/10 and 3x + 2y = ⅛
Now you have two dynamic arithmetic, solve x and y value arithmetic and rightly so.
Therefore, these are the possible variations of this article that you may encounter in the tests. If you find it useful, share the topic with your friends on Facebook or on any other channel. We will continue to articles with examples whenever possible, so stay tuned for more updates .. !!
==========================================
Comments
write a comment