Understanding the concept of "Time and Work" is crucial for students preparing for school and competitive exams in India. This topic not only helps in solving practical problems but also enhances your analytical skills. Practicing MCQs and objective questions related to Time and Work can significantly improve your exam performance by familiarizing you with important questions and concepts.
What You Will Practise Here
Basic definitions of work, time, and efficiency
Formulas for calculating work done and time taken
Concept of combined work and individual work rates
Problems involving multiple workers and their efficiencies
Applications of the concept in real-life scenarios
Time and Work problems involving pipes and cisterns
Concept of work done in fractions and ratios
Exam Relevance
The topic of Time and Work is frequently featured in various examinations, including CBSE, State Boards, NEET, and JEE. Students can expect questions that require them to calculate the time taken for tasks, determine the efficiency of workers, or solve problems involving multiple entities working together. Common question patterns include direct application of formulas, word problems, and conceptual MCQs that test understanding rather than rote memorization.
Common Mistakes Students Make
Confusing the concepts of time and work, leading to incorrect formula application
Overlooking the efficiency of individual workers when solving combined work problems
Misinterpreting the problem statement, especially in word problems
Neglecting to convert units when necessary, which can lead to calculation errors
Failing to account for the total work done when multiple workers are involved
FAQs
Question: What is the formula to calculate work done? Answer: Work done is calculated using the formula: Work = Time × Efficiency.
Question: How can I improve my speed in solving Time and Work problems? Answer: Regular practice of Time and Work MCQ questions will enhance your speed and accuracy.
Question: Are there any shortcuts for solving Time and Work problems? Answer: Yes, understanding the relationship between time, work, and efficiency can help you derive shortcuts for quicker solutions.
Now is the time to boost your preparation! Dive into our practice MCQs on Time and Work to test your understanding and enhance your skills. Remember, consistent practice is key to mastering this topic and achieving success in your exams!
Q. A can complete a work in 16 days, B in 24 days, and C in 32 days. If they all work together, how long will it take to complete the work?
A.
6 days
B.
8 days
C.
10 days
D.
12 days
Solution
Combined rate = (1/16 + 1/24 + 1/32) = 1/8. Therefore, they will complete the work in 8 days.
Q. If A can complete a work in 12 days and B can complete it in 16 days, how long will it take for A and B to finish the work if they work together for 4 days?
A.
2 days
B.
3 days
C.
4 days
D.
5 days
Solution
Combined rate = (1/12 + 1/16) = 7/48. In 4 days, they complete 28/48 = 7/12 of the work. Remaining work = 5/12, which will take 5/7 days.
Q. If A can complete a work in 18 days and B can complete it in 27 days, how long will it take for them to finish the work if A works for 6 days and then B works for 6 days?
A.
10 days
B.
12 days
C.
14 days
D.
16 days
Solution
A's work in 6 days = 6/18 = 1/3. Remaining work = 2/3. B's rate = 1/27. B will take 50/9 days to finish the remaining work.
Q. If A can do a work in 15 days and B can do it in 25 days, how long will it take for A and B to complete the work if A works for 5 days and then B works for 5 days?
A.
10 days
B.
12 days
C.
15 days
D.
20 days
Solution
A's work in 5 days = 5/15 = 1/3. Remaining work = 2/3. B's rate = 1/25. B will take 50/3 days to finish the remaining work.
Q. If A can finish a work in 20 days and B can finish it in 30 days, how long will they take to finish the work if A works for 10 days and then B works for 10 days?
A.
15 days
B.
20 days
C.
25 days
D.
30 days
Solution
A's work in 10 days = 10/20 = 1/2. Remaining work = 1/2. B's rate = 1/30. B will take 15 days to finish the remaining work.
