System of equations + work - practice problems
Number of problems found: 72
- Tadeo
Tadeo volunteered at the library 6 times as many hours over the weekend as Dylan. Together, they volunteered a total of 14 hours. How many hours did each person volunteer over the weekend? Write a system of equations that represents the situation. Let x r - Simultaneously 81441
The tank is filled through three openings, A, B, and C. The simultaneously open inlets A and B are filled in 1 hour, inlets A and C in 45 minutes, and inlets B and C in 1.5 hours. How long would it take to fill each inlet separately? - Participated 80621
Three 9th-grade classes participated in the paper collection competition. The company bought 1 kilogram of paper for €0.12, and the school received €174 thanks to their hard work. Calculate how many kg of paper 9A collected if you know that she collected - Pasture 79214
I need to find out the number of bulls in the third period. In the first period, 12 bulls grazed on 3 and 1/3 ha for 4 weeks. In the second period, 21 bulls graze on 10 ha for 9 weeks. How many bulls in the third period graze for 24ha and 18 weeks? The pa
- Swimming pool 6
We open the first pipe, and then after two hours, we open the second pipe without closing the first. The swimming pool will be filled with both pipes in 4 hours. If we open the first pipe itself, it will fill the pool 1.5 times faster than the second pipe - Construction 71794
Two different trucks together would bring the construction material in 6 hours. However, after 4 hours, the first car was transferred to another job, and the second one was driven for another 6 hours. How many hours would it take for the first car to deli - Efficiently 65484
In the first workshop, there are 3 workers; in the second workshop, 2 work equally efficiently. They worked on the order together, and for the last 2 days, only workers from the first workshop. If only the first workshop were working, the order would be c - 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? - Intended 63664
Farmers had to sow 200 hectares of fields. They reduced the planned sowing time by two days while planting 5 hectares more each day than intended. How many days did the sowing last?
- 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? - Assemblers 47483
Two assemblers with the same daily output were to complete the assembly in 12 days. After 4 days, one of them got sick, and the other finished the assembly in another 16 days. How long would it take everyone to do the assembly by themselves? - Part-time workers
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. - Sow barley
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 sowing grain in 12 days. How many hectares of land did they sow with barley? - Improvement 23971
Three employees received a reward of CZK 5,000 for the improvement proposal. They divided the money according to work so that the first got twice as much as the second, and the second got three times as much as the third. How many crowns did each person r
- According 22563
Three workers received a reward of CZK 12,600 for their joint work. They divided the money according to the work done. The first received 20% less than the second, and the third received 50% more than the first. How much did each of them get? - Co-workers 22553
Three co-workers earned a total of CZK 4,720 for repair work. They split so that the first got 20% more than the second and the third got 50% more than the second. How much did everyone get? - 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? - Working together
Two people will do the work in 12 days. They worked together for eight days. Then only one worked for ten days. How many days would each of them do the work if he worked alone?
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