Grade - math word problems - page 529 of 953
Number of problems found: 19049
- Two ports
From port A on the river, the steamer started at an average 12 km/h speed towards port B. Two hours later, another steamer departed from A at an average speed of 20 km/h. Both ships arrived in B at the same time. What is the distance between ports A and B - In theatre 2
A ticket for the balcony costs x CZK, and for the auditorium costs y CZK. For the afternoon performance, they sold 98 tickets for the balcony and 186 tickets for the auditorium, earning a total of 10970 CZK. For the evening performance, they sold 127 balc - Apple variete
This year, my uncle harvested 350 kg of apples, including 105 kilograms of Ontario and the rest of Jonathan's apples. Determine the percentage of the Jonathan apples. - Art school
Every fifth pupil of 9A class goes to art school. How many percent of pupils in class 9A go to art school? - Postage increase percentage
Postage for packages has increased to 7/5 of the original price. What percentage has the postage for packages increased? - A hammer
A hammer weighing 500 g hits the nail at a speed of 3 m/s. What is the average force acting on the nail, which penetrates the board to a depth of 5 cm? - Energy on impact
A stone weighing 200 g falls in a free fall for 3 s. Find its kinetic energy on impact. - Kinetic energy comparison
Compare the kinetic energy of a man weighing 80 kg who runs at a speed of 2 m/s and missiles weighing 20 g fired at 400 m/s. - Aircraft kinetic energy
The 150t aircraft takes off at a speed of 288km/h and, after a while, reaches a speed of 900km/h. Determine the change in the kinetic energy of the aircraft. - Ski equipment price
Petr found out that he would save CZK 1,680 with a 24% discount when selling winter goods. Calculate the original price of ski equipment. - Kinetic energy
A car traveling at a speed of 25 km/h increased the speed to a) 75 km/h b) 100 km/h when exiting the highway. How many times has its kinetic energy increased? - Hammer fall height
From what height does a hammer weighing 200 kg fall if its initial potential gravity was 6 kJ? - The elevator
The elevator car weighing 400 kg rises from the third to the fifth floor. By what value will the potential gravitational energy of the cabin increase? What useful work will the elevator motor do? The height of one floor is 5m. - Gravitational potential energy
We lift a weight of 2 kg to a height of 50 cm above the top of the table. Determine its gravitational potential energy: a) relative to the tabletop, b) relative to the floor if the table top is 1m above the floor. - Eight masons
Eight masons will plaster a wall with an area of 1440 m² in 9 days. They work 8 hours a day. How much area will plaster six masons in 4 hours? - Truncated cone and sphere
A sphere is inscribed in a truncated cone with base diameters D1=10 cm and D2=20 cm, touching both bases and the surface. What is its diameter? - Vehicle meeting calculation
The motorcycle left Děčín at an average speed of 40 km/h. At the same time, a passenger car from Prague drove towards him at an average speed of 80 km/h. The distance from Prague to Děčín is about 100 km. How long and at what distance from Děčín will both - Car cyclist pursuit
Behind a cyclist traveling at an average speed of 20 km/h, he left the same place 2 hours later than a passenger car at an average speed of 60 km/h. How long and at what distance will the passenger car catch up with the cyclists? - Rectangle field
The field has the shape of a rectangle, having a length of 119 m and a width of 19 m. How many meters have to be shortened in length and increased in width to maintain its area and circumference by 24 m? - Three parallels
The vertices of an equilateral triangle lie on three different parallel lines. The middle line is 5 m and 3 m distant from the end lines. Calculate the height of this triangle.
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