Algebra - math word problems - page 243 of 302
Number of problems found: 6040
- Tributaries 3243
The water reservoir is filled with one inflow in 30 hours and the other in 40 hours. Both tributaries were opened for some time, then the other tributary closed, and the reservoir filled in 5 hours. How long did the water flow in both tributaries at the s - Messenger 3117
One messenger went 7 miles every day. When he had gone 64 miles, his master sent another messenger after him, who went 9 miles daily. How many days did the second messenger catch up with the first messenger? - Temperature 3104
The tank has water with a volume of 300 liters and a temperature of 10 °C. Add water at a temperature of 90 °C until a temperature of 30 °C is reached. How many liters of warmer water do I need to add? - Two-fifths 2845
David goes to school by bike and says: "If I go 300 meters further than two-fifths of the way to school, I have just walked one kilometer of the way." How far is David from home to school? - Runners circle
Pepa circles the track in 36 seconds. Kamil in 42 seconds. They started together. How many seconds will we meet again at the start? - Digging companies
Company A would dig a pit for 12 days, company B for 15 days, company C for 20 days, and company D for 24 days. Work began with companies C and D, but after three days, They joined the other two companies. How long did it take to dig a pit? - Maximilian 81372
Tadeas the beetle set off from the house towards the cabbage leaf at a 20 m/min speed. Two minutes later, the Maximilian beetle followed him at 24 m/min speed. They both came to the cabbage leaf at the same time. How far was the letter from their house?
- Hectares 68854
Tractor drivers plow "h" hectares of land per day. How many hectares of land would they have to plow per day to plow the 585 ha area three days earlier than planned? For which "h" does this problem have a positive solution? - Alcohol 4441
How much 55% alcohol do we need to add to 2 liters of 80% alcohol to produce 60% alcohol? How much is 60% of alcohol made? - Covid-19 spread
A Street has 13 houses in a row. Some residents in the first house tested positive for Covid-19. The virus spreads in 2 ways: It can spread to the next house or jump directly to the third house. Residents of house two can get infected in only one way, hou - Function: 83053
The inverse function to the function f(x) = √(x-3) for x ≥ 3 is the function: - Determine 23131
Determine x in the ratio: 200:6 = x: 400 - Expression 3801
What is the value of x in the expression 8^x = 1/64 - Gravitational 38843
An aluminum plate with a volume of 200 cm³ sinks in water. Determine the gravitational force exerted by the Earth on the plate. Determine the buoyant force that acts on a plate immersed in water. Compare the magnitudes of these forces and justify whether - Acceleration 7054
The car brakes with an acceleration of 5 m/s². Determine the stopping distance of the car if its initial speed is a) 54 km/h, b) 108 km/h. Compare the calculated braking distances concerning the given speeds.
- Mean
The mean of 50 items for a student's food is 38.6. When checking the work, he found that he had taken one item as 50 to read as 40 correctly in these circumstances. What should the correct arithmetic mean? - Probability 65464
We randomly draw one out of 18 cards with numbers from 1 to 18. What is the probability that the ticket drawn is a prime number? Write the result as a decimal number rounded to two decimal places. - A car acceleration
A car increased its speed from 21.6 km/h to 108 km/h on a 54 meter long track. Determine its acceleration, assuming that the motion is uniformly accelerated. - Preparing the mixture
The seller prepared 25 kg of the mixture for 264 CZK per 1 kg. The first type was 180 CZK per 1 kg and the second was 390 CZK per kg. How much of each did he need? - The coal
The coal stock would be enough to heat a larger room for 12 weeks and a smaller one for 18 weeks. It was heated for four weeks in both rooms, then only in the smaller one. Thus, the coal stock was enough for how long?
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