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Number of problems found: 655
- Speed of Slovakian trains
Rudolf took the train from the station 'Nitra' to 'Nové Zámky'. In the train timetables found train Os 5004 : km 0 Prievidza 14:25 4 Koš 14:30 14:31 9 Nováky 14:36 14:37 13 Zemianske Kostoľany 14:42 14:43 16 Bystričany 14:47 14:48 19 Oslany 14:51 14:51 23
- Two municipalities
The horizontal distance between municipalities is 39 km. The average sinking is 7 permille. What is the difference in height between these municipalities?
- Reconstruction of the corridor
Calculate how many minutes will be reduced to travel a 167 km long railway corridor, where the maximum speed increases from 120 km/h to 160 km/h. Calculate how many minutes will shorten travel time if we consider that the train must stop at 6 stations. Ea
- Slope of track
Calculate the average slope (in permille and even in degrees) of the rail tracks between Prievidza (309 m AMSL) and Horná štubňa (624 m AMSL) if the track is 37 km long.
- Center of gravity
The mass points are distributed in space as specified by coordinates and weight. Find the center of gravity of the mass points system: A1 [1; -20; 3] m1 = 46 kg A2 [-20; 2; 9] m2 = 81 kg A3 [9; -2; -1
- Garden rent
The town of Bellmere has purchased a square plot of land that is 0.2 km by 0.2 km to make a community garden. If the garden is divided into plots that average 50 ㎡, how many plots will be available to rent?
- Road
Between cities, A and B is a route 9 km long of average 9‰ klesanie. Calculate the height difference between cities A and B.
- Inflation
Once upon a time, the tsar owned a money printer and printed and printed. Printing money prices went up in the first year 2.7 %, in the second 2.1%, in the third 3.6%, and in the fourth 5.4%. Then tsar failed in the election. Calculate the average annual
- 3y inflation
The price of the cookie rise in the first year by 2%, the second year fell by 6%, and in the third year increased by 17%. Calculate the average annual increase in the price of the cookie.
- Three Numbers GP
The sum of three Numbers in geometric progression (GP) is 38, and their product is 1728. Find the Numbers.
- Collective irresponsibility
On the Internet, time is very uncomfortable for the state that no more gaffes or waste is no longer possible to hush up as if people were at home with only two television channels censored. An example of the effectiveness of the state can be Bridge at Kom
- Railways - golden parachutes
This is an example more from political science, or even a fairy tale about carp who won't drain their pond. Let's look at the short work of the director of the Carp Railway Company: 18 months of quasi "work" as director reduction and elimination
- Car range
Kia has an average diesel consumption of 5.2 liters per 100 kilometers. What is the range of the car for 138 euros if fuel costs 1.3 EUR/liter, if the tank has a volume of 64 liters?
- Alcohol 2
Two types of alcohol, one 46% and second 64%, give 16 liters of 54% alcohol. How many liters of each type are in the mixture?
- Tesco Clubcard
František got quarterly billing vouchers for Tesco ClubCard, taking goods worth 6.5 Eur. Calculate the average monthly amount Tesco stores bought goods. Tesco ClubCard works for every Euro spent; you get one ClubCard point, which Tesco will convert to one
- Geometric mean
Calculate the geometric mean of numbers a=15.2 and b=25.6. Determine the mean by construction where a and b are the length of the lines.
- Descent of road
The road sign informs us the gradient is 10.9%. Calculate the angle at which the average decreases.
- Trams
Trams have an average speed of 23 km/h and run in tact 14 minutes. Pedestrian walking speed is 3.3 km/h. At what intervals do trams outrun pedestrians?
- Demographics
The population grew in the city in 10 years from 30000 to 34000. What is the average annual percentage increase in population?
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