Physical quantity - math word problems - page 287 of 342
Number of problems found: 6831
- Small interest 3
Tomáš had a certain amount of money in his account, which earned him €64 in interest for a year at an interest rate of 2% p. a. What would be the interest on the same amount if the annual interest rate was 3.5%?
- Scale of the map
The distance between the two cities is actually 30 km, and the map is 6 cm. What is the scale of the map?
- Two monuments
The distance between two historical monuments on a map with a scale of 1:500000 is 48 mm. Find the actual distance between these monuments in km.
- Butter
The same amount of butter is cut evenly from a cuboid every day. In seven days we used so much butter that all its dimensions were halved. a) How much percent of butter do we still have left? b) How many days will the butter last if we continue to cut the
- Competitors 49101
Competitors drove two-fifths of the race route in 60 minutes. How long before they passed the first fifth? How long was the race? And did they still drive at the same speed?
- Inspectors 19633
Five inspectors will catch an average of 70 black passengers in 6 days. How many black passengers are caught by nine inspectors in 10 days?
- Technicians 8382
The order required six technicians to complete it in 18 days. How long will it take for one, two, three, four, five, six, eight, ten, and twenty technicians to complete it?
- Connected 7933
There are three connected gears. Wheel A has 30 teeth, wheel B has 15 teeth, and wheel C has 20 teeth. How many turns does wheel A make when wheel C turns nine times? a) 6, b) 5, c) 4 d) 8
- Inspectors 5037
Five inspectors will catch an average of 70 black passengers in 6 days. How many black passengers are caught by nine inspectors in 10 days?
- Sea water
One tonne of seawater contains 25 kg of salt. How many tonnes of seawater needs to be evaporated to obtain 1 tonne of salt?
- Efficiency 4073
Determine the efficiency of a vacuum cleaner with a power input of 1.2 kW when the suction power is 360 W.
- Road repair
Road repair took 13 days for 39 workers if they worked 5 hours a day. How many days take to repair the same road 24 workers if they work 7 per day?
- Wall builders
If 12 men can build a wall 398 meters long in 48 days, how long would it take 33 men to build a wall 347 meters long? Answer to 3 decimal places.
- Circumference of edges
The hexagon pyramid has a circumference of 120 cm, and the length of the side edge is 25 cm. Calculate its volume.
- Diameter of a cylinder
The diameter of the cylinder is 42 cm. How many times does the cylinder turn on a 66 meters long track?
- Three-quarters of a tank
The oil tank is shaped like a cylinder with a height of 8 m and a diameter of 4 m. It is three-quarters full. How much oil is in it?
- Perpendicular 7001
We throw a ball in an express car traveling at a constant speed of 24 m/s, whose initial speed relative to the vehicle is 7 m/s. What is the initial velocity of the ball relative to the surface of the ground if we throw it a) in the direction of travel b)
- Kocourkov 7007
The train will run from Kockov to Drakov in 2 hours and 40 minutes, from Oslice to Kocourkov in 180 minutes, and from Kocourkov to Mokrov in 2 hours and 30 minutes. Which route will the train travel in the shortest and which in the longest time?
- Free fall
Pavel fall from height 9 m. Calculate the speed at which he hit the ground when falling with acceleration g = 9.81 m/s²
- Carefully 12791
Spruce logs with a diameter of 270 mm and a length of 4 m are carefully loaded onto a wagon with a bed width of 2,700 mm and stacked in 9 layers. How much does such a load of spruce wood weigh if its density is 700 kg/m³?
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