Time and Work Solved Examples
Introduction
Welcome to Nithra Jobs, Start your ultimate destination by solving time and work questions for competitive exam preparation. In this article, we can see the topic of time and work problems for bank exams. It is an important concept frequently asked in various competitive exams. Time and work problems are designed to evaluate your ability to solve complex tasks efficiently, making it an essential skill to master. By understanding the fundamental principles and applying relevant strategies, you can tackle these time and work questions with solutions with confidence and improve your chances of success in competitive exams. Click here to know about the time and work formulas and few example problems. Let's dive in and explore the world of time and work!
1. Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 30 pages on a computer, while Kumar takes 3 hours to type 36 pages. How much time will they take, working together on two different computers to type an assignment of 136 pages?Answer: 8 hours
Explanation:
Given data,
Number of pages typed by Ravi in 1 hour = 30 / 6
= 5
Number of pages typed by Kumar in 1 hour = 36 / 3
= 12
Number of pages typed by both in 1 hour = 5 + 12
= 17
Time taken by both to type 136 pages = ( 136 * 1 / 17 )
= 8 hours
Time taken by both to type 136 pages = 8 hours.
2. If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 3 men and 4 boys in doing the same type of work will be?
Answer: 20 days
Explanation:
Let 1 man's 1 day's work = x
1 boy's 1 day's work = y
Then, 6x + 8y = 1 / 10 ----- (1)
26x + 48y = 1 / 2 ----- (2)
By solving (1) and (2) equations We get,
10x = 6 / 10 - 1 / 2 (Take LCM)
10x = 6 / 10 - 5 / 10
10x = 1 / 10
⇒ x = 1 / 100
Put x = 1 / 100 in equation (1)
6 (1 / 100) + 8y = 1 / 10
8y = 1 / 10 - 6 / 100
8y = 10 / 100 - 6 / 100
8y = 4 / 100
⇒ y = 1 / 200
To find, how many days will 3 men and 4 boys work
( 3 men + 4 boys )'s 1 day's work = [ 3 * ( 1 / 100 ) + 4 * ( 1 / 200 ) ]
= ( 3 / 100 ) + ( 1 / 50 )
= ( 3 + 2 ) / 100
= 5 / 100
= 1 / 20
3 men and 4 boys can do the work in 20 days.
3. A can do a piece of work in 5 hours; B and C together can do it in 4 hours, while A and C together can do it in 3 hours. How long will B alone take to do it?
Answer: 60 / 7 hours
Explanation:
A's 1 hour's work = 1 / 5
( B + C )'s 1 hour's work = 1 / 4
( A + B + C )'s 1 hour's work = [ ( 1 / 5 ) + ( 1 / 4 ) ]
= ( 4 + 5 ) / 20
= 9 / 20
( A + C )'s 1 hour's work = 1 / 3
B's 1 hour's work = [ ( 9 / 20 ) - ( 1 / 3 ) ]
= ( 27 - 20 ) / 60
= 7 / 60
B alone will take 60 / 7 hours to do the work.
4. A and B can together finish a work in 20 days. They worked together for 10 days and then B left. After another 10 days, A finished the remaining work. In how many days A alone can finish the work?
Answer: 20 days
Explanation:
( A + B )'s 10 day's work = ( 1 / 20 ) * 10
= 1 / 2
Remaining work = 1 - ( 1 / 2 )
= 1 / 2
Now, 1 / 2 work is done by A in 10 days
Therefore, the whole work will be done by A in (10 * 2) = 20 days
A alone can finish the work in 20 days.
5. 10 women can complete a work in 6 days and 10 children take 12 days to complete the work. How many days will 4 women and 8 children take to complete the work?
Answer: 15 / 2 days
Explanation:
1 Woman's 1 day's work = 1 / ( 10 * 6 )
= 1 / 60
1 Child's 1 day's work = 1 / ( 10 * 12 )
= 1 / 120
( 4 women + 8 children )'s day's work = [ 4 ( 1 / 60 ) + 8 ( 1 / 120 ) ]
= 1 / 15 + 1 / 15
= 2 / 15
4 women and 8 children will complete the work in 15 / 2 days.
Problems for practice:
1. A alone can do a piece of job in 6 days and B alone can do the same job in 12 days. If they work together, in how many days can they complete the same job?
2. P, Q, R, and S can do a piece of work in 8, 12, 16 and 24 days respectively. They started working together after 2 days P and Q left. One day before the completion of the work S also left. How many days are required for completing the whole work?
3. A, B and C alone can complete a work in 10, 12 and 20 days respectively. If they worked together for 4 days, what is the fraction of the work that is left?
4. A starts a work and complete one-fourth of the work in 4 days, and B alone completes the remaining work in 3 days. In how many days B alone can complete the entire work?
5. 12 boys and 15 girls can complete a project work in 20 days working 8 hours per day. In how many days 10 boys and 20 girls can complete the same project work working 9 hours per day? (Efficiency of a boy is equal to the efficiency of a girl)
Conclusion
Have you tried the above given time and work aptitude questions with solutions? we believe that you have gained a solid understanding of the principles and strategies needed to solve time and work problems efficiently. By practicing the time and work questions for competitive exams covered in this module, you can enhance your problem-solving skills and improve your performance in competitive exams. Remember to apply the appropriate time and work formula, break down complex tasks into smaller components, and manage your time effectively while solving time and work problems. Stay motivated, keep practicing, and best of luck in your upcoming exams! For more valuable resources and exam preparation materials, visit Nithra Jobs, your trusted partner in achieving your career goals.
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