Work word problems

Work Problems are word problems that involve different people doing work together but at different rates. Another problem involves pipes filling up a tank. Another name for these problems is working together word problems.

We suggest solving working together word problems with the proportion. If we can complete a task in t hours, we can complete 1/t of the task in one hour.

Number of problems found: 325

  • Weighted harmonic average
    workers Ten workers will do some work in 2 minutes, five workers in 10 minutes and three workers in 6 minutes. How many minutes per average worker per worker?
  • Two xeroxes
    xerox The performances of the two copiers are in the ratio 3: 4. A machine with higher power will make 7,200 copies in one hour. How many copies will both machines make together in 5 hours?
  • Six painters
    painter Six painters paint an area of 120 m2 in 4 hours. How long does it take for 12 painters to paint 480 m2 with the same performance?
  • Book reading
    books Susan thought, "If I read 15 pages a day, I will read the whole book in 8 days. “How many pages would she have to read a day if she wanted to finish the book on the 6th day from the start of reading? And how many pages does the book have?
  • Mr. Ben
    bricks Mr. Ben drives bricks to the construction site. If he drove three times a day, he would make bricks in 8 days. How many times a day would he go every day to be done 2 days earlier?
  • Everyone drinks the same
    beers 24 bricklayers drink 72 beverage bottles a day at the construction site. How many bottles would 19 bricklayers need? Everyone drinks the same.
  • Reading
    bookshelf If I read 15 pages a day, I will read the whole book in 18 days. How long will it take to read a book if I only read 9 pages every day?
  • Diggers
    digging Eight diggers will do the job in 85 hours. After 21 hours, 3 diggers had to leave. How many hours will the work be done?
  • Part-time workers
    mince Three part-time workers received CZK 1,235 for their work. The first received 20% less than the second and the third received 45 CZK more than the second. Determine how many crowns (CZK) each of them received.
  • The leaves
    garden Karel would rake the leaves in the garden alone in 24 minutes, his younger brother would take 30 minutes. How long would they dig a garden, if Karel digs alone for 6 minutes and then his brother comes to his aid?
  • Sow barley
    kombajn Farmers wanted to sow barley within 13 days. Due to the excellent weather, they exceeded the daily plan of sowing by 2 ha and therefore finished sow grain in 12 days. How many hectares of land did they sow with barley?
  • In the
    covid19 In the workshop, it was necessary to quickly complete the production of veils for the hospital. The workshop staff promised to work an additional 240 hours to produce this order in March. The workshop has eight employees who work 160 hours a month. What p
  • Shoemaker
    shoes Both the shoemaker and his apprentice repaired his shoes. The apprentice worked for 6 days and repaired 10 pairs of shoes every day. The shoemaker did the same job in 4 days. How many pairs of shoes did the shoemaker repair per day?
  • Three workshops
    workers One workshop can complete the task in 48 days, the second in 30 days and the third in 20 days. In how many days would the task be completed if all workshops worked?
  • Motorcycle engine
    motor_rpm The motorcycle engine has a constant power of 1.2 kW for 0.5 hours. How much work does the engine do? Express work in kWh and Ws units.
  • Gas pipeline
    clocks Worker Molnár excavated the gas pipeline in 15 hours, worker Lakatoš in 12 hours and worker Soukup in 10 hours. After how many hours of joint work will the excavation be completed?
  • Inclined plane
    naklonena_rovina 1. How much work W we have to do to pull a body weighing 200 kg along an inclined plane with a length of 4 m to a total height of 1.5 m. 2. Find the force we need to exert to do this if we neglect frictional resistance. 3. Find the force we would need if
  • Book reading
    kniha_tridni Suzan reads a book. If she read half an hour a day, she would read it in nine days. How many minutes does he have to read a day if he wants to read it three days earlier?
  • Six workers
    workers Six workers earned a total of CZK 12,600 per week on the construction site (5 working days). How much do 7 workers earn in 10 days with the same daily average salary?
  • Electric work
    bulb Calculate the work done by the electric forces passing the current of 0.2 A through the bulb in 10 minutes if the bulb is connected to a 230 V power supply.

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