We have covered the Time and Work Concepts, derived the important Time and Work Formulas, and now we will apply them to Time and Work Questions in this section.
Here, we will solve each question step by step, including the formula or concept used, so that you can understand how to apply the formulas while solving different types of Time and Work questions.
However, we recommend that you attempt each question yourself before looking at the solution. If you are unable to solve a question or are unsure which formula to apply, you can revisit our Time and Work Formulas section and then try the question again.
So, let us begin.
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Q1: An RRB railway maintenance team has 14 workers who can complete a particular maintenance task in 18 days. If 21 workers of the same efficiency are assigned to the task, in how many days will they complete it?
Q2: Apsara and Sankirtan are preparing for an SSC examination and decide to complete a study-related task together. Apsara can complete the task in 10 days, while Sankirtan can complete it in 15 days. In how many days will they complete the task together?
Q3: Apsara can complete a work in 20 days, while Sankirtan can complete the same work in 30 days. If they work together for 5 days, what fraction of the work will they complete?
Q4: A railway contractor can complete a particular work in 12 days, while his supervisor can complete the same work in 18 days. The contractor works alone for 4 days and then leaves the work. How many more days will the supervisor take to complete the remaining work?
Q5: An Assistant Section Officer (ASO) can complete some work in 16 days, while another ASO can complete the same work in 24 days. They work together for 4 days, after which the first ASO leaves. How many more days will the second ASO take to finish the remaining work?
Q6: An Assistant Loco Pilot (ALP) can complete a particular work in 12 days, another ALP can complete it in 18 days, and a third ALP can complete it in 36 days. In how many days will they complete the work if they work together?
Q7: At a Bank PO training centre, Sankirtan and Apsara are assigned a data-entry task. Working together, they can complete the task in 9 days. Sankirtan alone can complete the same task in 15 days. In how many days can Apsara alone complete the task?
Q8: A signal maintenance team has 15 workers who can complete a particular work in 24 days. After working for 6 days, 5 workers leave the work. How many more days will the remaining workers take to complete it?
Q9: A railway maintenance project requires 20 workers to complete a particular work in 30 days. After working for 10 days, 4 workers leave the project. How many more days will the remaining workers take to finish the work?
Q10: During a Defence training exercise, two cadets are assigned a task. The first cadet can complete the task alone in 8 days, while the second cadet can complete it alone in 12 days. They work on alternate days, with the first cadet working on the first day. In how many days will the task be completed?
Q11: MathsByNITian is preparing a new set of Time and Work questions. Apsara can complete the work in 12 days, while Sankirtan can complete it in 18 days. Apsara works alone for 4 days, after which Sankirtan joins her. In how many more days will they complete the remaining work together?
Q12: An underground water control team has 24 workers who can complete a particular work in 15 days. After working for 5 days, 8 additional workers join the team. How many more days will they take to complete the remaining work?
Q13: In a section controller office, A can complete a particular work in 12 days, while B can complete the same work in 15 days. They start working together. After 2 days, C joins them, and the entire work is completed in 5 days. In how many days can C alone complete the work?
Q14: A railway examination centre has assigned two workers to complete a preparation task. A can complete the task in 15 days, while B can complete it in 12 days. They work together for 4 days. After that, B is reassigned to another examination centre, and A continues working alone until the task is completed. For how many days does A work alone?
Q15 : At a bank branch, two employees are assigned to complete a documentation task. The first employee can complete the task alone in 8 days, while the second employee can complete it alone in 12 days. The first employee works alone for 2 days, followed by the second employee working alone for 3 days. The remaining work is then completed by both employees working together. In how many days will they complete the remaining work?
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