Time and Work Questions

• Two-worker collaboration: X alone completes a job in 12 days. Together, X and Y complete the job in 6 2/3 days. In how many days can Y alone finish the job?
• Man-days scaling to a fraction of a day: 10 men can build a wall in 8 days. How many men are required to complete the same work in half a day (assume identical efficiency)?
• Mixed workforce (men and women): 3 men can finish a job in 6 days and 5 women can finish the same job in 18 days. If 4 men and 10 women work together, how many days will they require to finish the job?
• Men and children together: 3 men can do a work in 18 days; 6 children can do the same work in 18 days. How many days will 4 men and 4 children together need to finish the work?
• Three-person collaboration: P can do a work in 12 days, Q alone in 8 days, and with the help of R they finish in 4 days. How many days would R alone take to complete the work?
• Staggered start in work: A alone can finish a job in 15 days, and B alone can do it in 10 days. A starts the work and B joins after 5 days. For how many total days did the work last until completion?
• Efficiency comparison: A does 20% less work than B (i.e., A’s rate is 20% lower). If A can complete the job in 7.5 hours, in how many hours can B complete the same job?
• Relative efficiency increase: X can complete a work in 16 days. If Y’s efficiency is 60% more than X’s efficiency, in how many days can Y complete the same work?
• Men and women together with partial information: 2 men and 3 women finish 25% of a job in 4 days. Also, 6 men and 14 women finish the whole job in 5 days. In how many days will 20 women finish the entire work?
• Determine a woman’s solo time from a mixed team: 10 men and 15 women finish a work in 6 days. One man alone can finish the same work in 100 days. In how many days can one woman alone finish the work?
• Share in contract work: A, B and C contract to complete a work for Rs. 550. Together A and B are supposed to do 7/11 of the work. What should be C’s share of the payment?
• Time and Work — Individual vs. Combined Rates A can complete the work alone in 6 days, and B can complete the same work alone in 3 days. If A and B work together from start to finish, in how many days will they complete the entire work?
• Work Rates — Isolating One Worker's Time from Group Data Ram, Dilip, and Shekhar together complete a job in 20 days. Ram and Dilip together complete the same job in 30 days. How many days would Shekhar alone take to complete the job?
• Three Workers with Different Efficiencies Sunil completes the work in 4 days, Dinesh in 6 days, and Ramesh works 1.5 times as fast as Sunil. If all three work together from the start, how many days are required to finish the work?
• Staggered Start — One Worker Joins Later Mahesh and Umesh can complete a job in 10 days and 15 days, respectively. Umesh works alone for the first 5 days, after which Mahesh also joins. In how many total days is the work completed?
• Two Workers — Partial Contribution Then Solo Finish A can do the work in 80 days. He works alone for 10 days, and then B alone finishes the remaining work in 42 days. If A and B worked together from the start, in how many days would they finish?
• Staggered Collaboration — B Joins After 10 Days A can complete a job in 25 days and B can complete it in 20 days. A starts alone and B joins after 10 days. What is the total duration of the work (in days)?
• Team Size Changes Midway 14 men can complete a work in 12 days. After 4 days, 2 more men join. How many additional days are needed to complete the remaining work?
• Mid-Project Replacement and Net Team Size 12 men can finish a job in 9 days. After 3 days, 6 men join to replace 2 men (net change in team size). How many more days are needed to finish the remaining work?
• Three People Working Together A can do a job in 8 days, B can do it in 16 days, and C can do it in 80 days. If all three work together, how many days are needed to complete the work?