Algebra - math word problems - page 108 of 302
Number of problems found: 6037
- Racing track
On the racing track, circling three cars. The first passes one circuit for 19 seconds, the second for 12 seconds, and a third for 9 seconds. a) Calculate the number of seconds since starting to catch all three cars together for the first time again across
- Reminder and quotient
Numbers A = 135 and B = 315 are given. Find the smallest natural number R greater than one so that the proportions R:A, R:B are with the remainder 1.
- 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
- The wellbore
The wellbore has a tributary of 2 m³ per hour. When there is no tapping, there are a stable 28 liters of water in the well. The pump suction basket is at the bottom of the well. At 14.00, the water was pumped out at a rate of 0.5 liters every second. What
- Different prices
Christopher sells 10 bells at different prices: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 euros. He needs to pack all the bells into 3 boxes so that the price of the bells in each box is the same. How many ways can he do this? a)1 b)2 c)3 d) 4 e) cannot be divided in
- Thinking 4586
I'm thinking of a number that doesn't belong to the group. Please find it, justify the choice, and divide it by 9. 36,54,56,80,72,64,42,18,24,32,90,48,28,99.
- Altogether 82457
Mr. Novák needs three wooden poles 21 dm, 350 cm, and 2.8 m long. He needs to cut them into smaller pieces of the same length, as long as possible. How long will he get and how many pieces will he have altogether?
- Intervals 3487
The four teams left the terminal together at 5:00 in the morning. Line A runs at 15-minute intervals, line B at 6-minute intervals, line C at 20-minute intervals, and line D at 8-minute intervals. What time did all four lines leave the terminal together a
- The charity
Amy will donate up to $460 to charity. The money will be divided between two charities: the City Youth Fund and the Educational Growth Foundation. Amy would like the amount donated to the educational foundation growth to be at least four times the amount
- Infinitely 3818
We have 2 numbers. If we multiplied the first number's third root by the second number's square root, we would get the number 18. Determine these 2 numbers. Calculate only the integer solution if the problem has infinitely many solutions in the set of rea
- Three ships
There are three ships moored in the port, which sail together. The first ship returns after two weeks, the second after four weeks, and the third after eight weeks. In how many weeks will the ships meet in the port for the first time? How many times have
- Orchard
One-eighth of the trees in the fruit plant in winter froze, and one-twelfth were damaged by disease and pests. Healthy trees remained 152. Is it enough to supply 35 trees to restore the original number of trees in the orchard?
- Dressmaker
The dressmaker left a piece of canvas shorter than 5 meters. She was deciding whether to sew a skirt or dress. The canvas was exactly as much as they had consumed, having cut up her skirt to 120 cm or 180 centimeters. What a piece of canvas left her?
- Determine 82733
Tomáš collects NHL cards. Find out that he will never have any cards left if he divides them into groups of three, four, five, or six. Determine how many hockey cards Tomáš has; if their number is three-digit and starts with the number 2,
- The port
Four ships Berthed in the port. Together, sail from a port. The first ship will return to port every two weeks, the second after four weeks, the third after eight weeks, and the fourth after 12 weeks. After how many weeks do all the boats meet at the port
- Leftovers 43921
There is less than 50 m of fabric in the package. If we cut only for blouses or only for dresses, we will not have any leftovers. 1.5 m of fabric is used for one blouse and 3.2 m for one dress. Determine the amount of fabric in the package.
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