Fractions + work - 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: 44
- Two workers
The first worker would himself completed the work in 8 hours, the other in 6 hours. After two hours of joint work, the worker left the first worker to a doctor, and others completed the work himself. How many hours worked the other worker himself?
- Two friends
Peter can do all his work himself in 6 hours. Martin can do the same work himself in 8 hours. Peter worked first and then replaced by Martin. Whole work was done in 6.5 hours. Calculate how long Peter worked before replaced by Martin.
- Two companies
The family ordered two companies to modify the garden. The first would be done in 20 days, the second would take 40% less time. How long will they work together if the second company started working when the first worked for 4 days?
- 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?
- Reading records
Lucy, Tereza, and Petra decided to compile the compulsory reading records together. It would take 30 days for Lucia alone, 36 for Tereza and 45 for Petra. How long will it take to make records if they will work together?
- Two workers
One worker needs 40 hours to do a job, and the second would do it in 30 hours. They worked together for several hours, then the second was recalled, and the first completed the job itself in 5 hours. How many hours did they work together, and how much did
In an company of 1050 employees are 2/3 women. How many women work in the company?
Of all 360 employees, there are 11/12 women. How many men work in a company?
6 pump fills the tank for 3 and a half days. How long will fill the tank 7 equally powerful pumps?
8 bricklayers build a house for 630 days. How many bricklayers have to add after 150 days, so then the whole building completed in (next) 320 days?
- Two rooms
Woman cleans the room in 30 minutes a man in 90 minutes. How long will take they clean two rooms?
- Two pumps together
The first pump will fill the tank itself in 3 hours and the second one in 6 hours. How many hours will the tank be full if both pumps are worked at the same time?
Father collects strawberries himself in 4 hours, son in 14 hours. How long will it take them along when dad comes to help son collect strawberries after 3 hours?
Pediatrician this month of 20 working days takes 8 days holidays. What is the probability that on Monday it will be at work?
- In the bakery
In 2.25 hours, 24 pieces of bread are baked in the bakery. How many breads are baked in the bakery in 6 hours and 45 minutes?
The pool can be filled with two different tributaries. The first inflow would fill the pool in 18 hours, both in 6 hours. How many hours would the pool filled with a second inflow?
Father dig up the garden in 9 hours. Son in 13 hours. How many hours take dig up the garden together?
- Three machines
The power of the three machines is 2: 3: 5. Two most powerful machines produce 400 parts per hour. How many components make all three machines in 3 hours?
- Water reservoir
One drain hole emptied the water from the tank for 20 hours, with the second drain for 30 hours. How long will the water drain from this tank if we open two drains simultaneously?
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