Themes, topics - math word problems - page 61 of 174
Number of problems found: 3474
- 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 - Harmonic oscillation equation
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? - Bucket blueberry filling
Mira 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? - Radio signal oscillations
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. - Beam force distribution
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
Luke decided to go riding on horseback. Walking is the slowest pace and tiring, at a speed of 6 km/h. When trotting, the rider rises in the saddle rhythmically, covering 15 km/h. The fastest and most strenuous gait is a gallop, at approximately 30 km/h. H - 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 1 m. What is the electric field strength at the center S of side BC, i.e., what force would act on a po - Volunteer hours average
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 table graph
Calculate and write in the table 10 values of the function f: y = 3x + 1, and the function's graph from them. - Thermometer
A thermometer with a heat capacity of 2.0 J/K is immersed in 67.0 grams of water. Before immersion, the thermometer reads 17.8 °C. After reaching thermal equilibrium, the temperature is 32.4 °C. What was the temperature of the water before the measurement - Diver hydrostatic pressure
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 during a hunt. His brothers were at a watering hole 120 km away. He had to return before sundown, which was 1.5 hours away. His brothers planned to leave the watering hole at sundown. - For the first 40 km, the ch - Three days way
The tourist walked a quarter of the way on the first day, a third of the rest on the second day, and 20 km on the last day. How many km did he cover in three days? - Resistors in a circuit
Two resistors with resistances 30 and 50 Ohm are connected in series in a circuit. Between the outer terminals of the resistor there is a voltage of 20 V. Draw the circuit diagram and record into it all quantities. What current passes through the first an - Bulbs in a motorcycle
In a motorcycle there is a battery with a voltage of 6 V. To the battery two devices are connected side by side. The first device is the bulb of the tail-light with an electrical resistance of 12 Ohm. The second is the bulb of the headlight with an electr - Square equal rhombus
Construct a square that has the same area as a rhombus ABCD if |AB| = 5 cm, |AD| = 4 cm, and angle |DAB| = 30°.
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