Themes, topics - math word problems - page 15 of 167
Number of problems found: 3330
- Interest 83990
The deposit is €1000. The interest is 7.36% per year. What is the amount after 3 years and 9 months?
- Distance - cities
Determine the actual distance between two cities if their distance on the map is 7.5 cm and the map scale is 1:60,000.
- Timetable
If a train traveling between two cities increases the speed specified in the timetable by 5 km/h, it will arrive 20 minutes earlier. If it decreases it by 5 km/h, it will arrive 25 minutes later. How long is the route between the cities?
- Vertical movement
Find the length of the vertical path you must travel to lift a weight with a force of 0.01 N to do 1 J of work.
- Aluminum - density
The density of aluminum is 2,700 kg/m³. Calculate the mass of an aluminum cube with a volume of 80 cm3!
- Aluminum ignote
At what temperature did the temperature stabilize if an aluminum ignote weighing 45 kg and at a temperature of 15°C received 4.8 MJ of heat? The specific heat capacity of aluminum is 896 J/kg°C.
- Paving 2
It will take a construction company 8 working days to pave the sidewalks on two streets in a city if all 6 pavers work. However, only 4 pavers can complete the job because the other two have been dismissed. How many working days will it take the group of
- Didactic test B0
A tourist cycled 28 km on an asphalt road and 25 km on a dirt road, which took 3 hours 36 min. At what speeds did the tourist travel the individual sections of the road if he rode 1.4 times faster on the asphalt road than on the dirt road?
- Capacity of iron
What was the initial temperature of an iron object weighing 30 kg that, when heated to 39 degrees Celsius, absorbed 3.5 kJ of heat? The specific heat capacity of iron is 450 J/kg/°C.
- Calorimetric equation
A 200g aluminum cylinder at 180°C was dropped into 3kg water at 25°C. At what temperature did the resulting temperature stabilize? The specific capacity of water is 4200 J/kg °C, aluminum 896 J/kg °C,
- Specific heat
How much heat must we add to turn 25 kg of ice at a temperature of -15 degrees Celsius into water with a temperature of 23 degrees? Specific heat of fusion 333 kJ/kg.
- By mass
How much heat must we supply to completely convert potassium weighing 45 kg at a temperature of 22.4 °C into potassium at a temperature of 98 °C? The specific heat of fusion is 25.5 kJ/kg, the melting point is 63.32 °C. The specific heat capacity of potas
- Elevator efficiency
To what height will an elevator motor with a power of 25 kW and an efficiency of 48.6% transport a cabin weighing 445 kg with seven people (the average weight of one person is 64 kg) if it takes 54 seconds?
- Standard
What will be the speed of a two-pole synchronous motor connected to a standard network with a frequency of 50Hz? In revolutions per minute.
- Crowbar - lever
How much force must we apply to the end of a 2.4 m long crowbar to lift a door weighing 220 kg, if it stands on the crowbar 35 cm from its end, which is resting on the ground?
- Weighing 83881
From what height did a body weighing 9.8 kg fall if it hit the surface at a speed of 100 km/h?
- Motor efficiency
Calculate the power input of a motor operating at an efficiency of 58% that will lift an elevator car (weighing 390 kg) with twenty boxes (each 25 kg) to a height of 85 m in 29 seconds.
- Acceleration - gravity
What is the gravitational constant (acceleration) if a body with a mass of 5.8 kg fell from 68 meters and hit the ground at a speed of 60 km/h?
- Borrowed
Mr. Douda borrowed 200,000 SK from the bank at an annual interest rate of 15.4%. He will repay the loan after four years. How many korunas will he have to repay?
- Emptying a tank
A water tank is emptied by one pump in 12 hours, by the second in 9 hours, and by the third in 4 hours. How many hours will it take to empty if all 3 pumps are turned on?
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