System of equations + fundamentals of Physics - practice problems - last page
Number of problems found: 54
- Kilograms 5998
What is the weight of an empty water tank, and how many kilograms of water is in it? If the total weight a) 192 kg, would it drop to 132 kg after a third of the water weight is drained? b) 107 kg would increase to 132 kg after adding a quarter of the curr - Expressway 5837
The expressway covers the distance from the starting point to the final station in 4 hours and 20 minutes. A passenger train, whose average speed is 30 km/h less, will cover this distance in 7 h 40 min. What is the speed of the express train, and what is - Resulting 4757
How many grams of pure silver and 0.770 silver must be melted so that the resulting alloy weighs 2576 g and has a quality of 0.93 / pure silver has the first quality? - Passenger 4468
A truck left Beroun at 7 o'clock in the direction of Prague on the highway in the fog. In 20 minutes after that, a car drove by at the same place and along the same route at a 27 km/h higher speed. The passenger car overtook the truck after another twenty
- Concentration 4419
We added 300 g of water to a 400 g of salt solution. This step reduces the solution's concentration by 5%. How much water did the original solution contain, and what was its concentration? - Kilometers 4391
The car moved out of place at a speed of 60 km / h in 1.5 hours. The second car moved at a speed of 80 km / h. How long will it take to catch the first car, and how many kilometers will it drive? - Consumption 4345
The locomotive consumes 22 kg of coal when climbing. It consumes 10 kg when descending and driving on a flat surface. The line is 62 km long, and coal consumption on this line was 800 kg. How many km of the climb was there on the track? - Ring
The gold and copper alloy rings weigh 14.5 g and have a volume of 1.03 cm³. How much gold and how much copper does it contain? The metal densities are Au 19.3 g/cm³ and Cu 8.94 kg·dm-3 - Distance between two cities
The car went from A to B in 4 hours. The car was up 15 km/h faster on the way back. The return trip took 48 minutes shorter than the way there. Find the distance of cities A and B.
- Cork and swimming
If a person weighs 80 kg, how many kilograms of cork must take a swimming belt to float on water? The density of the human body is 1050 kg/m3, and the cork is 300 kg/m³. (Instructions: Let the human body and cork on a mixture with a density of - Vacation
Parents are piggybacking children on vacation to their grandmother and grandfather in a city distant 150 kilometers. They agreed to meet halfway. Parents will travel at 90 km/h, grandmother and grandfather at 60 km/h. Parents depart at 12:00 hours. When d - Tourists
The first group of tourists started from the cottage at 7:00 AM at a speed of 4 km/h. The second started after them 21 minutes later at a 6 km/h. How long and how many kilometers from the cottage will catch the first group? - Reservoir + water
The reservoir filled with water weighs 12 kg, and after pouring off, three-quarters of the water weighs 3 kg. Calculate the weight and volume of the reservoir. - Truck
The truck went for 4 hours and 51 minutes. If the truck increases its speed by 23 km/h, it will go the same distance in 2 hours. Calculate this distance.
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