1.
A and B can do a piece of work in 72 days, B and C can do it in 120 days c A and C can do it in 90 days. In what time can A alone do its?

2.

A can be a piece of work in 10 days B in 15 days. They wonk for 5 days. The rest of the work was finished by C in 2 days. If they get Rs. 1500 for the whole work, the daily wages of B and C are

3.
A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A 1eaves after some days and then B completed the remaining work in 23 days. The number of days after which A left the work was

4.
A does half as much work as B in three-fourth of the time. If together they take to days to complete the work how much time shall B take to do it?

5.
A, B. and C can complete a work separately in 24, 36 and 48 days respectively. The- started together but c left after 4 days of start and A left 3 days before the completion of the work. In how many days will the work be completed?

6.
A works twice as fast as B. If B can complete a wonk’ in 12 days independently, the number of days in which A and B can together finish the work is:

7.
A man can do a job in 15 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?

8.
A and B can together finish a work in 30 days. T4iey worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the job?

9.
A and B can separately do a piece of work in 20 arid 15 days respectively. They worked together for 6 days, after which B was replaced by C. If the work was finished in next 4 days, then the number of days in which C alone could do the work will be:

10.
A can do a certain work-in the same time in which B and C together can do it. If and B together could do it in 10 aays and C alone in 50 aays, then B alone could do it in:

__Time and Work: Start Preparing for Your Career Aptitude Test__

While preparing for the **career aptitude test**, you may also go through “Time and Work” problems. They appear simple to read but need tactics to reach the most accurate solution. Most of the time, candidates end up marking wrong answers in **online aptitude test**. Few simple mistakes due to lack of knowledge and practice can lead to huge harm to the overall score. Hence, experts always advise learning the most trusted shortcuts and techniques to solve these questions without compromising for accuracy. Your selected method must also save your time so that questions can be finished on time, and you can move to the rest of the paper as well.

Let us assume a case where a well is required to be dug within 10 days. Now, if one person can dig it in 10 days, it means he will be able to dig 1/10^{th} of the same well in one day. It is the basic approach to understand and proceed with time and work-related questions. You can further use some advanced tactics to find answers fast and efficiently.

__Combined formula to solve aptitude questions related to Time and Work:__

One more important concept that is commonly applied to the time and work problems is related to the combined efficiency of two or even more people. When we talk about time and work questions, the rate at which machines or person work are usually pre-defined; candidates are generally asked to compute the rate at which those people can work together, or the condition may be vice versa.

Let us consider an example; it takes 3 and 6 hours for Ram and John to break a dam when they are working alone. Hence, in this case, Ram can break 33% (1/3rd) of the dam in one hour; whereas John can break 16.67% (1/6th) part of the dam in one hour. Furthermore, in two hours, Ram can destroy 66.66% of the dam whereas John can destroy 33.33% of it. Hence, if they both work together for two hours; they can destroy 66.66 + 33.33 percent or in simple words, 100% of the dam.

__The LCM approach to solving time and work problems:__

Some time and work problems can be easily solved with LCM approach. In this case, the total work done is considered as LCM of the total number of days that each person takes to complete the task. For instance, let us consider that Rahul can do some task in 20 days, and Rohit can do the same task in 30 days. Now, the work can be represented as LCM of 20 and 30, that is equivalent to 60. It means, Rahul can do 60 units within 20 days, i.e., 60/20 = 3 units work in one day and in a similar manner, Rohit can do 60 units of work within 30 days, i.e., 60/30 = 2 units in a day. In case if they work on the same task together, they can finish it as 3+2 = 5 units in a day. Hence, a total of 60 units can be completed in 60/5 = 12 days.

Candidates preparing for following competitive exams can utilize Aptitude section to improve their skills.

- Bank Competitive Exam
- MPSC Competitive Exams
- SSC Competitive Exams
- L.I.C/ G. I.C Competitive Exams
- Railway Competitive Exam
- University Grants Commission (UGC)
- NET/ SET Competitive Exam
- Common Aptitude Test (CAT)
- Career Aptitude Test (IT Companies)

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