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Number of problems found: 979
- Coffee
In-stock are three kinds of branded coffee prices: I. Kind. .. .. .205 Kc/kg II. Kind. .. .. .274 Kc/kg III. Kind. .. .. 168 Kc/kg Mixing these three species in the ratio 8:5:6 create a mixture. What will be the price of 100 grams of this mixture? - Acids
70% acid is made from the same acid of two different concentrations. The amount of weaker acid to the stronger acid is in ratio 2:1. What was the concentration of the weaker acid if the stronger had 91% concentration? - Motion problem
From Levíc to Košíc, go car at speed 81 km/h. From Košíc to Levíc, go another car at speed 69 km/h. How many minutes before the meeting will be cars 27 km away? - Motion
From two different locations, distant 232 km started against car and bus. The car started at 7:10 with an average speed of 74 km/h. The bus started at 8:40 with an average speed of 48 km/h. When did they meet? How many kilometers went the bus?
- Vinegar
We must dilute 16 liters of 8.8% aqueous vinegar to 4.1% one. How much water is necessary to add? - Proof PT
Can you easily prove Pythagoras' theorem using Euclidean theorems? If so, do it. - Motion2
The cyclist started off town at 19 km/h. The car started after 0.7 hours behind him in the same direction. It caught up with him for 23 minutes. How fast and how long went the car from the city to catch cyclists? - Resistors
Two parallel resistors connected in series give the resulting resistance $R1Ω and $R2Ω. Determine the resistance of these resistors. - Pool
If water flows into the pool by two inlets, fill the whole for 20 hours. The first inlet filled the pool 8 hour longer than the second. How long does the pool take to fill with two inlets separately?
- Triangle P2
Can a triangle have two right angles? - Pumps
The tank is filled with two pumps in 16 minutes. The first pump is filled in 30 minutes earlier than the second one. How many minutes is filled with the first pump? - Proof I
When added to the product of two consecutive integers larger one, we get the square larger one. Is this true or not? - Compound interest
Calculate the time when the deposit in the bank with interest 2.6% p.a. doubles. - Wind drift
The plane flies at 900 km/h, passing distance 1800 kilometers with the wind and once again against the wind for 4 h 1 min. What is the wind speed?
- Ladislav in Amsterdam
Laco went (was sent) to a conference in Amsterdam for a reward. The conference fee was € 1304. Calculate how many books Ladislav could buy at the price of 32 and 22 euros if he doesn't want to fill the whole home library, and he can buy only 52 books - Acid
The barrel is 199 liters of 38% acid. How many percent of acids occur when 61 liters revoke and replaced with the same amount of water? - 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 - Trolleybus
Trolleybus line No. 206 measured 24 km. If the trolley bus goes faster by 5 km/h, the way there and back would be shorter by 33 minutes. Calculate the trolley bus speed and the time it takes for a return trip. - When will I be a millionaire?
Barry monthly send 280 euros to the bank, which he deposits bear interest of 2.1% p. A. Calculate how many months must Barry save to save 1000000 euros? Inflation, interest rate changes, or bank failures are ignored.
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