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Introduction: Time And Work
Work is defined as something which has an effect or outcome; often the one desired or expected. The basic concept of Time and Work is similar to that across all Arithmetic topics, i.e. the concept of Proportionality.
Efficiency is inversely proportional to the Time taken when the amount of work done is constant.
This can be used to compare efficiencies and Time taken across different groups In TimeSpeedDistance, efficiency is replaced by Speed; i.e. Speed is inversely proportional to Time when the Distance is constant.
Pipes and Cisterns are just an application of Time and Work. Concept wise, it is one and the same. In the above proportionality, Efficiency is replaced by Rate of filling. The equation in this case becomes
The concept of percentage of work done can be used to solve most of the related questions.
A few basic points one needs to know to use the percentage concept are: When it is said that someone has done a work, it means he has done 100 % of the work. Hence, if A finishes a work in 4 days, it means in 4 days he will do 100% of the work. Hence, in one day he finishes 25% (100/4) of the work. Similarly, in 3 days he finishes 75 % of the work.
Time and Work Shortcut Tricks:
Table of commonly used numbers:
The complete work can also be considered as 1 unit. Then if A takes 4 days to finish a work, it means he can finish 1/4th of the work in 1 day.
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Question 1 of 15
1. Question
A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
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A’s 2 day’s work = 1 x 2 = 1 . 20 10 (A + B + C)’s 1 day’s work = 1 + 1 + 1 = 6 = 1 . 20 30 60 60 10 Work done in 3 days = 1 + 1 = 1 . 10 10 5 Now, 1 work is done in 3 days. 5 Whole work will be done in (3 x 5) = 15 days.

Question 2 of 15
2. Question
A and B can do a job in 8 days. B and C can do the same job in 12 days. A, B and C can do the job in 6 days. In how many days A and C can complete the job?
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Question 3 of 15
3. Question
A can do a piece of work in 10 days, and B can do this work in 15 days. They both started together. After three days, B left the work. In how many more days will the work be finished?
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Question 4 of 15
4. Question
A and B can do a piece of work in 4 days, while C and D can do the same work in 12 days. In how many days will A, B, C and D do it together?
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Question 5 of 15
5. Question
A can do a job in 10 days. B can do the same job in 5 days. In how many days they can complete the job if they work together?
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Question 6 of 15
6. Question
A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?
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Question 7 of 15
7. Question
A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
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Question 8 of 15
8. Question
A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?
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Explanation:
5/30 + 20/x = 1
x = 24
1/30 + 1/24 = 3/40
40/3 = 13 1/3 days 
Question 9 of 15
9. Question
A and B undertake to do a piece of work for Rs. 480. A alone can do it in 75 days while B alone can do it in 40 days. With the help of C, they finish the work in 25 days. How much should c get for his work?
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In 24 days, they would have done 1/3 and 5/8 of the work.
The remaining work is 1 – (1/3 + 5/8) = 1/24.
This means C has done 1/24th of the work, so he should be paid 1/24th of the amounti.e. 480 × 1/24 = Rs. 20 is the answer.

Question 10 of 15
10. Question
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is
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Question 11 of 15
11. Question
A, B, C, and D can do a piece of work in 20 days. If A and B can do it together in 50 days, and C alone in 60 days, find the time in which D alone can do it.
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Question 12 of 15
12. Question
A, B, C, and D can do a piece of work in 20 days. If A and B can do it together in 50 days, and C alone in 60 days, find the time in which D alone can do it.
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Question 13 of 15
13. Question
A and B undertake to do a piece of work for Rs. 450. A can do it in 20 days and B can do it in 40 days. With the help of C, they finish it in 8 days. How much should C be paid for his contribution?
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A & B would have done 8/20 & 8/40 of the work respectively in 8 days. Together they have done 3/5th of the work. This implies that C has done 2/5th of the work. Thus, C should be paid 2/5th of the amount i.e. 450 × 2/5 = Rs. 180.

Question 14 of 15
14. Question
Rahim can finish a work in 10 days and Ram can finish the same work in 40 days. If Ram and Rahim both work together then what is the total number of days taken?
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Question 15 of 15
15. Question
Ravi can do a job in 10 days. Raman can do the same job in 20 days. They together start doing the job but after 4 days Raman leaves. How many more days will be required by Ravi to complete this job alone?
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Ravi can finish a job in 10 days i.e in one day he can finish 10 % of the job.
Raman can finish the same job in 20 days i.e. in one day he can finish 5 % of the job.
So, working together, in a day they can do 10 + 5 = 15 % of the job.
In the 4 days, if they worked together, they would have finished 4 × 15% = 60% of the job.
So, job left = 100 – 60 = 40%. This work has to be done by Ravi who does 10 % of the job in a day. So, to finish the remaining 40%, he will take 40/ 10 = 4 more days.