Themes, topics - math word problems - page 58 of 167
Number of problems found: 3330
- Competitors 49101
Competitors drove two-fifths of the race route in 60 minutes. How long before they passed the first fifth? How long was the race? And did they still drive at the same speed?
- Above water surface
If we remove the stone from the water, we apply a force of 120N. How much force will we exert if we move the stone above the water? The stone's density is 5000 kg/m³.
- What power
What power should the radiator have in a room 5x4 meters with a height of 3 meters? Hint: Calculate 35 watts per meter³ when you need 22 degrees in the room, but you need about 24 degrees in the bathroom. It's an old heating cheat, but it will help you.
- 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?
- Two cars
Two cars (trucks and passengers) drove simultaneously from two places 50 km away. If they go against each other, they will meet in 30 minutes. If they follow each other in the same direction, the car will catch up with the truck in 2.5 hours. What is the
- Oscillation 48961
Write the harmonic oscillation equation if the oscillation's amplitude is 5 cm and its period is 0.5 s.
- There
There is 5 l of water with a temperature of 20°C in the bucket. We add 3 liters of hot water. The resulting temperature will be 30°C. What was the temperature of the hot water?
- Blueberries 48771
Mirka picks up a bucket of blueberries in two hours. Lorenzo fills one-third of the bucket every hour. How long would it take to fill one bucket together to the brim?
- Part-timers
Six part-timers would take seven hours to pick strawberries. How long would this work take if two more temporary workers were added after three hours?
- Oscillations 48711
The time signal in the radio consists of four sound marks with a frequency of 1,000 Hz, of which the first three have a duration of 100 ms and the fourth 500 ms. How many oscillations will occur at each mark?
- Two pendulums
In 24 s, the first pendulum performed 12 oscillations and the second 16 oscillations. Determine the periods and frequencies of both pendulums.
- Suspended 48691
A body weighing 400 kg is suspended at a distance of 1 m from one end of the beam on a beam weighing 100 kg and 5 m. How large do forces act at the ends of the beam?
- Most strenuous
Lukáš decided to go on horseback. On horseback, he can walk, which is slow and tiring, at a speed of 6 km/h. When trotting, he rises in the saddle as if jumping, then he goes at a speed of 15 km/h. The fastest and most strenuous is a gallop. The horse's s
- 3 positive charges
Three equal positive charges Q are located at the vertices of an isosceles right triangle ABC. The right angle is at vertex A. The length of side AB is 1m. What is the electric field strength at the center S of side BC, i.e., what force would act on a pos
- Modifications 48393
During the cross-country ski run modifications, 32 volunteers worked 256 hours. How many hours did an average volunteer work?
- Six identical
Six identical compressors inflate 180 balloons in one hour. How many balloons inflate one compressor in 10 minutes?
- Function's 48141
Calculate and write in the table 10 values of the function f: y = 3x + 1, and the function's graph from them.
- Thermometer
Immerse a thermometer with a heat capacity of 2.0 J/K in water weighing 67.0 grams. Before water immersion, the thermometer showed a temperature of 17.8 degrees Celsius. After reaching equilibrium, the temperature is 32.4 degrees. What was the water tempe
- Hydrostatic 47943
The Czech Martin Štěpánek became the world record holder in May 2003, diving in the open sea in Cyprus with only fins to a depth of 93 m for 3 min and 34 s. Calculate the hydrostatic pressure acting on it at this depth.
- A cheetah
A cheetah was separated from his brothers on a hunting mission. The brothers were at the watering hole 120 km away. The lost cheetah knew that he had to make it back before sundown, which was 1.5 hours away. His brothers had planned to leave the wateri
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