Themes, topics - math word problems - page 43 of 168

Number of problems found: 3360

Safe key locks
We have to distribute the keys to the safe among four people so that no two of them can open the safe but in such a way that any three can open the safe. How many minimum keys do we need? How to divide them? How many minimum locks must be on the safe? All
Cart friction force
An 80 kg cart moving at constant speed along a horizontal road is subjected to a pulling force of 120 N. Specify: a) the magnitude of the frictional force b) the value of the coefficient of shear friction.
A BICYCLIST
A BICYCLIST traveled for T=1.9 hours at a constant R = 32 km/hr speed. Find distance traveled.
Prague Huddersfield scale
Prague's direct distance to Huddersfield (United Kingdom) is 1680km. What is the map's scale, at which this distance is 84 cm?
Penny free fall
A man drops a penny from the top of a 500m tall building. After t seconds, the penny has fallen a distance of s meters, where s(t)=500-5t². Determine the average velocity between 1s and 5s.
Street plan length
What length will the 120 m long street have on the plan at a scale of 1:1500?
Lake map scale
The air distance between the cottages on the same shore of the lake, 2.7 km, is the distance expressed by a line length of 36 mm. Find the scale of the map.
Map actual distance
On a tourist map with a scale of 1:50 000, the distance between Štrbské Pleso and Štrba is 14 cm. What is the actual distance?
Sidewalk plan marking
The sidewalk is 500m long. How will it be marked on the plan on a scale of 1:200?
Matej Anton age
Matej and Anton are 44 years old together. Matej is twice as old as Anton was when Matej was half as old as Anton will be when Anton is 3 times older than Matej was when Matej was 3 times as old as Anton.
The temperature 28
The temperature rose 14°C in 3 1/2 hours. At what rate, in degrees per hour, did the temperature rise?
Storm distance sound
The sound travels at a speed of 1km in 3 seconds. If the thunder is heard 12 seconds after the lightning, what distance is the storm?
Bank interest percentage
Katka had € 660 in the bank, for which she received interest of € 33 at the end of the year. What percentage was the interest?
Car kinetic energy
The car weighs 1850 kg and increases its speed from 27 to 81 km/h. How much has its kinetic energy increased?
Starting
The aircraft has a take-off speed of 310 km/h, a take-off weight of 16.5 t, and is taking off on a 2 km take-off runway. The flight speed is 880hm/h, the flight altitude is 10 km. a) Determine the acceleration of the aircraft during takeoff and the takeof
Airplane wing pressure
An airplane flies at a speed of 920 km/h at an altitude of 11 km above the surface of the Earth, where the air density is p = 0.36 kg/m³. Determine the pressure difference above and below the plane's wing if the top of the plane is 10% longer than the bot
Power during takeoff
The aircraft weighing 3.5 tons will disembark 1 km in 1 minute after takeoff and reach a speed of 290 km/h. Find the average power of its engines during this time.
Swing balance lever
Two children with different weights sit on the swing, a lever with your shoulders. On the left side sits a child with a capacity of 30 kg, and on the right, a child with a capacity of 20 kg. One swing arm is 150 cm long. How would you seat the children so
Laura bike route
Laura went for a new bike ride. In an hour, her father followed her on the same route at 60 km/h speed and overtook her in 1/2 hour. a) Find the length of Laura's route in kilometers before her father catches up with her. b) Determine in kilometers per ho
Grandmother currant harvest
The grandmother and granddaughter Julia harvest currants in 15 hours of work together. Julia would harvest currants for ten days after 6 hours of work a day. a) Determine in hours how long the harvest would have taken for her grandmother if Julča had not

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