Algebra - math word problems - page 109 of 302
Number of problems found: 6040
- Morning 82968
The new truck makes one trip with sand in 18 minutes, and the older truck takes one-third as long to make one trip. Both will leave at the same time in the morning. How long will it take for them to meet again, and how many times will they meet in an eigh
- Simultaneously 40161
Two differently set metronomes used in music education to keep rhythm were started simultaneously. The first beeps after 3 seconds and the second after 7 seconds. How often will the beep sound together between the 1st and 2nd minutes?
- One-third 6529
The worm Oliver Zoubek decided to bite through the oak log. In the first year, he made a hole in one-third. The second year, he chewed through one-third of the rest. In the third year, again, a third of the rest, and in the fourth year, he had 16 cm left.
- Two months
Mars has two months, Phobos and Deimos. Phobos orbit around Mars in 7 hours 39 minutes, and Deimos in 30 hours 14 minutes. How long will the relative positions of the three celestial bodies repeat?
- Birthdays
In the classroom, students always give candy to their classmates on their birthdays. The birthday person always gives each one candy, and he does not give it himself. A total of 650 candies were distributed in the class per year. How many students are in
- Tailor
From the rest of the cloth, the tailor could cut off either 3 m in men's suits without a vest or 3.6 m with the vest. What shortest possible length could the rest of the cloth have? How many suits a) without a vest b) With a vest, could you make the tailo
- Tableau pyramid
Your class will invent an original tableau pyramid from photos. What minimum dimensions will it have to have if you want to place 50 9x13 photos there? You want a classic pyramid, i.e., Each next row is one photo-less, but in the last row, two photos (the
- Magic bag
The number of tolars in the magic bag doubled each time the prince crossed the bridge. But then the devil always conjured 300 tolars for him. When this happened for the third time, the prince had twice as much as he had in the beginning. How many tolars d
- Subsequent 8261
Mr. Peter needs to dig a 20m deep well on his property. The AZET company charges 1 euro for the first meter and 2x more for each subsequent meter. The ZETA company charges 200 euros for each meter of well depth. Which company should Mr. Peter choose if he
- One-fourth 3820
Darius said to Miloš: I think a number. If I square it to one-fourth and then multiply it by 3, I get its square root. Find the unknown number that is greater than zero and belongs to the set of positive integers.
- Rubberized 33173
Jaro had 4 angles written in his notebook, the sum of which was a right angle. The little sister rubberized one corner of it. Determine its size if the remaining angles remain written in the notebook: 12°34, 34°56, 56°9.
- Seamstress' 4608
The seamstress' earnings in the last three months of the year are always 20 percent higher than the previous month. She earned a total of CZK 65,520 between October and December. How much CZK did you make in October?
- Leftovers from boards
The carpenter has three boards 360 cm, 27 dm and 450 cm long, and he wants to cut them into boards of the same length so that there are no leftovers. What will the board be to make it as long as possible?
- The Iceland
There is a geyser and a volcano in a nature reserve in Iceland. The geyser erupts regularly every 18 days, and clouds of smoke rise from the volcano every 40 days. How many times in the course of 9000 days will there be a situation where we can observe bo
- The tailor
The tailor estimated the rest of the fabric in the package at 11 m. By measuring, he found that he could cut the same pieces of this fabric without a residue in 150 cm or 210 cm increments. How many meters of fabric were in the package?
- Stop
Three trams pass through the stop on Malé náměstí. Tram number 9 arrives regularly at eight-minute intervals, train number 12 stops at the stop every 10 minutes, and the third tram line number 13 stops at the stop every 12 minutes. How many times will all
- Cleaning 2
Maggie is looking to hire a carpet cleaning company. Cleaning Crew Inc. charges $24 for supplies and then $18 per room. If Maggie has $96 to spend on cleaning the carpets, how many rooms can she have cleaned?
- Three Titanics
Three steamers sailed from the same port on the same day. The first came back on the third, the fourth 4th day, and the third returned on the sixth. How many days after leaving, the steamers meet again in the harbor?
- Trio
A trio of workers earns 750 euros. Money is divided by the work that each of them makes. The first received twice the second, and the second received three times more than the third. How many got everyone's workers?
- Theater
Each row of the theater has 15 seats. The ticket to the first 7 rows is for 26 EUR. The next row is for 13 EUR. The theater was completely sold out. Revenue was 5850 EUR. How many rows are in the theater?
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