System of equations + work - practice problems
Number of problems found: 72
- Pumps
The tank is filled with two pumps in 16 minutes. The first pump is filled in 30 minutes earlier than the second one. How many minutes is filled with the first pump? - Flowerbed
Ondra digs the bed in 20 minutes. Cuba in 30 minutes. For how long do they dig together? - Work
The first paver paves pavement for 27 hours. Second for 27 hours. I started the first paver and, after 4 hours, joined the second. How long will they finish the pavement? - Company and employees
There are 370 employees in the company - women are 15% less than men. How many men work in the company? - Three workshops
2743 people are working in three workshops. In the second workshop works, 140 people more than in the first and in the third works 4.2 times more than the second one. How many people work in each workshop? - Employees 22433
The company has 250 employees. There are 30 more men than women. How many men work in the company, and how many women? - Workforce 22353
Three times more women than men work in the beet field. Eight men and 8 women load beets. The rest of the workforce, in which there are five times more women than men, cuts beets. How many men and how many women work in the fields? - Demonstrate 4841
The textile factory employs 600 women and men, twice as many women as men. How many women and how many men work here? Demonstrate and explain the calculation procedure. - Tractors
Wheel and belt tractors each day plow 8 ha of fields. The wheel tractors would have to work to plow 76 hectares for 12 days. Eight days with the belt tractor together. How many hectares do each day of each tractor? - Two pumps
Pump A takes twice as long to fill a tank as B. Together, they take 2 hours to fill the tank. How long does each one take to fill the tank by itself? - Individually 65314
A bakery worker makes 300 rolls more than an apprentice in 2 hours. In 4 hours, they both made 9800 rolls together. What are the hourly output of the worker and the apprentice individually? - Employees
1116 people are working in three factory halls. In the first one, 18% more than the third, and 60 persons more than the second. How many employees work in individual halls? - Two pipes
One pipe fills one-fifth volume 20 minutes before my second one. The two pipes together will fill the tank in two hours. How long will fill the tank of each pipe separately? - Revenue
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? - Workhorses
A team of colleagues did the work in 20 days. After adding two colleagues from the beginning, the team completed the work in 15 days. How many members has the colleague team? - Two workers
Two workers work together and perform the job in 12 hours. If one has done half the work and then the second worker next half of the work, it will take 25 hours. How long would it take to job them separately? - Employees 8068
One thousand employees work in the company. At the end of the year, 10% of all men and 20% of all women received bonuses. Thus, the company rewarded 14% of the total number of employees. How many men and women work in the company? - Two workers
One worker makes a part 4 hours and the second 9 hours later than they would make the same part together. How long does it take for each worker to make the part himself? - Dog price
Tereza agreed to get a dog and 6000 crowns a year for help in a dachshund breeding station. After eight months, she had to finish work and got a dog and 2000 crowns. What price does a dog have? - James
James paints a fence. If he painted every day, instead of 14 planks, he would do 16 one day earlier. How many planks have a fence altogether?
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