Work + ratio - math problemsWork 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: 50
- The work
The work was to be done by 150 workers. At the beginning of their work, their number reduced by 40, which increased the time of work by 5 and 1/3 of the schedule. How long did work take?
- Working time
At 10 hours work shift, work is done in 16 days. How many days will the work be done at 8 hours shifts?
- Mason with assistant
Mason had to complete the work in 10 days. Two and a half days later his assistant arrived. Together they completed the work in next three and a half days. How many days would he need an assistant for the same work?
Jožko with Fero painted the bench for four hours. How many hours would take work if four friends help him?
- Painting rooms
If Dano paint three hours daily given work he complete in 7.5 days. How many hours a day would have to work to finish the job 1.5 days earlier?
Ten painters paint the school in 20 days. How many days do four painters paint the school at the same pace of work?
Mr. Robert and Mr. Norbert get together € 1400. The revenue split in the ratio of 4:3, depending upon each work. How many got each of them?
Peter chops wood. If they cut down a half hours a day he ended work in 9 days. But Peter needs to end work 3 days earlier. How many minutes a day should cut down?
- Two xeroxes
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?
- Road repair
Road repair took 10 days for 36 workers if they worked 9 hours a day. How many days take repair same road 37 workers if they work 8 per day?
- Forestry workers
In the forest is employed 56 laborers planting trees in nurseries. For 8 hour work day would end job in 37 days. After 16 days, 9 laborers go forth? How many days are needed to complete planting trees in nurseries by others if they work 10 hours a day?
- Three workers
Three workers got paid for work. First earn € 50, the second € 100 and third € 60. For further work should receive together € 735. How do you divide that amount in order to be distributed in the same proportion as the first job?
- Greek railwayman
Wesley works for the Slovak railways since 1986. His salary is 864 €. His colleague, Evgenias works in the Greek State Railways from 1991. Earns 5010 € per month. Calculate how many hours a day must Evgenias work to earn as much as Wesley and if they work
- Two diggers
Two diggers should dig a ditch. If each of them worked just one-third of the time that the other digger needs, they'd dig up a 13/18 ditch together. Find the ratio of the performance of this two diggers.
- Five mechanics
Five mechanics will make a car for some time. How many cars can 30 mechanics produce at the same time?
6 pump fills the tank for 3 and a half days. How long will fill the tank 7 equally powerful pumps?
Six trucks will be used to build the roadside 18 days. After 3 days, two more trucks were sent to build. How long will it take for material move?
20 cows has food for 60 days. We reduce the dose to two-thirds for 18 cows. How many days will be fed?
Two workers would make installation of greenhouses for 54 hours. For how many hours does the installation 9 workers?
- Troops - soldiers
Food stocks will last 20 soldiers of the 4-day training. How many days they could extend training if four soldiers become sick?
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