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Number of problems found: 3376
- Clocks
How far does the tip of a clock's minute hand travel in 340 minutes if the minute hand is 23 cm long? How far does the tip of the hour hand travel in the same time? - Pension or fraud
Imagine working your entire career honestly, paying taxes and social insurance contributions (in Slovakia). You have a gross wage of 970 euros. You and your employer together pay 310 euros per month in social insurance contributions over 41 years, and you - Farmer
A farmer cultivates 244 ha of arable land, which represents the part of his land that is not meadows and pastures. The remaining 12% consists of meadows and pastures. How much land does the farmer own in total? - Triangle SAS
Calculate the area and perimeter of a triangle if two sides are 46 m and 33 m long and the angle between them is 170°. - Plasticine ball
Plasticine balls each have a radius of r1=77 cm, r2=98 mm, r3=9 cm, r4=81 cm, r5=5 cm, r6=74 mm, r7=49 mm, r8=43 mm, r9=26 mm, r10=2 cm. They are - Scientists from the Social Insurance
Pavol went on sick leave and the social insurance office granted a daily sick pay of 12.68358032 EUR. Calculate how many days it will take Pavol to save up to the price of 0.15 EUR, given that the last decimal place of the daily sick pay is discarded each - Ships
At 0:00, the ship set sail at 22 km/h. At 9:00 followed by 43 km/h sailboat. When does the sailboat catch up with the ship? How many minutes will catch uptake? - Salary raise
The monthly salary was 927 Eur. During the year, it was raised to 1075 Eur. Calculate the month from salary was increased that employee earned 12604 Eur during the whole year. - Triangle SSS
Calculate the perimeter and area of triangle ABC if a = 45, b = 30, and c = 50. - Slope of track
Calculate the average gradient (in per mille and in degrees) of the railway tracks between Prievidza (309 m above sea level) and Horná štubňa (624 m above sea level), given that the track is 37 km long. - Reconstruction of the corridor
Calculate how many minutes the travel time will be reduced on a 213 km long railway corridor if the maximum speed increases from 120 km/h to 160 km/h. Calculate how many minutes the travel time will be shortened if the train must stop at 6 stations, decel - Ultra expensive ramps
The village Čakajovce have two-level railway crossings (the ramps), the railway company ZSR decided to replace it. The price for upgrading the two crossings is 302065 Euros. Calculate how we can obtain many houses for 77000 euros at this price. Calculate - Bomber
Bomber flies 10 km at 850 km/h. At what horizontal distance from the target must the pilot drop the bomb to hit the target? Don't care about air resistance and consider the gravitational acceleration g=9.81 m/s². - Trolleybus
Trolleybus line No. 215 is 30 km long. If the trolleybus travels 4 km/h faster, the round trip would be 39 minutes shorter. Calculate the trolleybus's speed and the time for a round trip. - 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 - Greek railwayman
Lewis has worked for Slovak Railways since 2000. His salary is 950 €. His colleague Evgenias has worked for Greek State Railways since 1984 and earns 5700 € per month. Calculate: a) how many times more does Evgenias earn than Lewis? b) how many times more
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