Work - math word problems

Work Problems are word problems that involve different people doing work together but at different rates. Another problem that 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 a task can be completed in t hours, then 1/t of the task can be completed In one hour.

Number of problems found: 242

  • 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_1 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_1 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?
  • Sow barley
    kombajn Farmers wanted to sow barley within 13 days. Due to the excellent weather, they managed to exceed 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?
  • 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_1 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?
  • 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?
  • Five combers
    permutations_3 Five combers harvest 12 rows of strawberries in 4 hours. How many rows of strawberries will two combers harvest in 10 hours?
  • Cable car
    lanovka The cable car will carry 1280 passengers in 40 minutes. How many people will be transported in 2.5 hours?
  • The field
    tractors 3 tractors plow the field in 6 hours. However, after 2 hours, 1 tractor broke down. How long will the field be plowed?
  • Work together
    time Two bricklayers plastering a wall. The first would plaster it in 8 hours, the second in 12 hours. How many hours will they be done with the work if they work together?
  • Ditch
    vykop The excavator dug 40% of the excavation in 2 hours 20 minutes. How long does it take him to dig the whole ditch?
  • 3 pupils
    meter_1 3 pupils cleaned 10 meters of the stream in 1 hour. How many meters of the stream will clean 18 students in 4 hours?
  • Five tractors
    tractors Five tractors plow the fields in 4.8 hours. How long will it take to plow the field when, after an hour and a half of work, two tractor drivers have been called up for another task?
  • Diggers
    workers_1 The excavation was carried out in 4 days and 5 workers worked on it for 7 hours a day. Determine how long it would take to excavate if 7 workers worked on it 8 hours a day.

Do you have an interesting mathematical word problem that you can't solve it? Submit a math problem, and we can try to solve it.

We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...