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1. Corporal Jones takes 12 hours to complete a planned maintenance check on an antisubmarine helicopter. Jones had been working on a helicopter For 4 hours when Sergeant Marco arrived to help him finish the job. They complete the check in 2 hours. How long would it have taken Sergeant Marco to complete the job alone?
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2. One garden hose can fill an above ground pool in 10 hours. A second hose can fill the pool twice as fast as the first one. If both hoses are used together to fill the pool, how many hours will it take?
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3. It takes Tom 4 hours to build a fence. If he hires Jack to help him, together they can do the job in just 3 hours. If Jack built the same fence alone, how long would it take him?
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4. It takes a man one hour to mow his lawn. It takes his son 90 minutes to mow the same lawn. How long will it take if father and son work together to mow the lawn?
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5. One pipe fills a pool in 4 hours. A second pipe, used to drain the water from the pool, can empty the pool in 8 hours. The owner of the pool mistakenly opened both pipes. How long will it take to fill the pool if one pipe is filling and the other is emptying?
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6. Suppose one painter can paint the entire house in twelve hours, and the second painter takes eight hours. How long would it take the two painters together to paint the house?
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7. One pipe can fill a pool 1.25 times faster than a second pipe. When both pipes are opened, they fill the pool in five hours. How long would it take to fill the pool if only the slower pipe is used?
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8. Worker A can finish a job in 3 hours. When working at the same time as Worker B, they can finish the job in 2 hours. How long does it take Worker B to finish the job if he works alone?
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9. Painters A and B can paint a wall in 10 hours when working at the same time. Painter B works twice as fast as A. How long would it take B to paint it if he worked alone?
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10. A 10,000litre pool is filled by two pipes: A and B. Pipe A delivers 1,000 liters per hour. When pipe A and B are both on, they can fill an empty pool in 4 hours. How many liters per hour can pipe B deliver?
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11. A, B, and C can finish a job in 6 days. If B and C work together, the job will take 9 days; if A and C work together, the job will take 8 days. In how many days can C, working alone, do the job?
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12. It takes Jerry twice as long as Sue to clean up the kitchen. if Sue can clean up the kitchen in 1/3 hour, how long would it take to clean up the kitchen if she works together with Jerry?
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13. Three painters, Beth, Bill, and Edie working together can paint a home in 10 hours. Bill and Edie together have painted a similar house in 15 hours. One day, all three worked on this same kind of house for 4 hours, after which Edie left. Beth and Bill required eight more hours to finish. Assuming no gain or loss in efficiency, how long should it take Bill to complete such a job alone?
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14. Pump 1 can empty a tank in 4 hours while Pump 2 can empty the same tank in 3 hours. How long would it take to empty the tank if both pumps worked together?
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15. The horsepower produced by a steam engine varies directly as the number of revolutions per minute of its operation. if 1200 horsepower was produced when a machine was operated at 150 revolutions per minute, find the number of horsepower it will produce when it will operate at 170 revolutions per minute
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16. It takes Josh 2/3 as long as it takes Beth to paint a wall. If together Josh and Beth would take 12 hours, how long would it take Beth to do the work alone?
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17. It takes Bill 6 hours longer than John to plow a certain field. Together they can plow it in 4 hours. How long would it take Bill alone to plow the field?
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18. It takes Jonathan 2/3 as long as it takes Juancho to paint a car. If together Jonathan and Juancho take 12 hours, how long would it take Juancho to do the work alone?
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19. Ten people can paint 60 houses in 120 days, so five people can paint 30 houses in how many days?
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20. A piece of work can be done in 34 days by 25 men. After 16 days, 10 men quit work. in how many more days can the rest finish the work?
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21. Marie and Isabel can paint an apartment in 5 hours working together. If Marie can do the same job alone in 7 hours, how long will it take Isabel to finish it alone?
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