Time and Work Questions

• X can finish a job in 40 days. He works for 8 days, and Y completes the remaining work in 16 days. How long will X and Y together take to complete the whole work from start?
• A and B can complete a job together in 7 days. A is 1¾ times as efficient as B. In how many days can A alone complete the job?
• A can lay a railway track in 16 days and B in 12 days. With help of C they finish the job in 4 days. In how many days can C alone do the job?
• A and B can complete a work in 15 and 10 days respectively. They work together for 2 days, then B leaves and A completes the rest. In how many total days is the work finished?
• A, B and C can do a piece of work in 20, 30 and 60 days respectively. If A works every day and is assisted by B and C on every third day, in how many days is the work completed?
• A and B can do a work in 30 days; B and C in 24 days; C and A in 20 days. They all work together for 10 days and then B and C leave. How many more days will A take to finish the remaining work?
• 4 men and 6 women complete a work in 8 days, while 3 men and 7 women complete it in 10 days. In how many days will 10 women alone complete the work?
• P completes a work in 12 days working 8 hours per day. Q completes the same work in 8 days working 10 hours per day. If both work together for 8 hours per day, in how many days will they complete the work?
• Ravi types 32 pages in 6 hours and Kumar types 40 pages in 5 hours. If both work simultaneously on separate computers, how long will they take to type 110 pages in total?
• A can do a job in the same time as (B + C) together. A + B finish it in 10 days, and C alone takes 50 days. In how many days can B alone finish the job?
• Twenty women finish a work in 16 days; sixteen men finish the same work in 15 days. What is the ratio of the efficiency (capacity) of a man to that of a woman?
• X can finish a job in 20 days; Y can finish it in 12 days. X works alone for 4 days, then Y joins and both work together till completion. How long does the entire job take?
• A can complete a work in 15 days and B in 20 days. If both work together for 4 days, what fraction of the work remains unfinished?
• A alone can do a job in 6 days; B alone in 8 days. They agree to do it for ₹3200. With C's help, the work finishes in 3 days. How much should C be paid?
• A is thrice as efficient as B and therefore finishes the job 60 days earlier than B. How long will A and B take to finish the job working together?
• A + B finish a work in 8 days; B + C finish it in 12 days; A + B + C together finish it in 6 days. In how many days will A + C together finish the work?
• Machines P, Q, R can each print 1,00,000 books in 8 h, 10 h, and 12 h respectively. All start at 9:00 A.M.; P stops at 11:00 A.M.; Q and R continue. Approximately when will all 1,00,000 books be printed?
• 10 women complete a work in 7 days; 10 children complete the same work in 14 days. In how many days will 5 women and 10 children together complete the work?
• A works twice as fast as B. If B alone finishes the work in 12 days, in how many days will A and B together finish the work?
• A takes twice as long as B or thrice as long as C to finish a job. Working together, they finish in 2 days. In how many days can B alone finish the job?