Physical quantities - math word problems - page 145 of 177
Number of problems found: 3535
- Santa gift distribution
Nicholas came to hand out gifts on December 6th and found out that he could hand out gifts to five children in 15 minutes with only one helper. How many minutes did they give out gifts to 40 children if Nicholas called 5 helpers? - Plane distance
Two planes took off from Prague at one point. The first is flying north at a speed of 420 km/h, and the second is flying east at a speed of 560 km/h. How far apart will they be as the crow flies in 25 minutes of flight? - Wheel load force
A working load weighing 50 kg is placed on the wheel at a distance of 50 cm from the axis of rotation. Calculate the force required to lift the wheel. Hansel lifts the wheel at a distance of 1.5 meters from the axis of rotation. The weight of the wheel is - Maid bed making
Six maids in a hotel make 200 beds in 2 hours. Calculate how long five equally efficient maids would take to make these beds. Enter the result in minutes. Calculate how long three equally efficient maids would take to make 100 identical beds. Express the - 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 (average mass 64 kg per person) in 54 seconds? - Suppose 6
Suppose the life span of a revolutionary light bulb is normally distributed with a mean life span of 70 thousand hours and a standard deviation of 3 thousand hours. If a light bulb is chosen at random: a) what is the probability the life span will be with - Confidence interval
When checking the use-by date of a specific type of canned meat in warehouses of meat industry products, 340 canned goods were randomly selected, and it was found that 63 of them had passed their warranty period. Establish a 95% confidence interval to est - Knife meat pressure
Grandma wanted to fry steaks for lunch. So she went to buy a large piece of meat. Calculate the knife's contact area with the meat if the grandmother cut with a force of 220 N and exerted a pressure of 1.83 MPa. - Nozzle water speed
A water spray nozzle with a cross-section of 1.5 cm² sprays water at a speed of 24 m/s. What is the speed of the current in the supply pipe whose cross-section has a volume of 18 cm²? - Aircraft bearing Two aircraft will depart from the airport simultaneously. The first flight flies with a course of 30°, and the second with a course of 86°. Both fly at 330 km/h. How far apart will they be in 45 minutes of flight?
- Expanding
A problem has spread here — money printing. The ECB claims it aims to maintain a price level with 2% inflation. However, for the last three years in a row, annual inflation has been 6%, 7%, and 9%. - Bell copper tin
Nine kilograms of bell metal contain 7 kg of copper, the rest of which is tin. How much copper and how much tin were used to cast five bells? Each of the two larger bells weighed 535 kg, and each of the remaining three smaller ones weighed 286 kg. - Building a wall
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. - Dam building hours
Twenty men will build a dam in 36 days if they work 10 hours daily. How many hours a day do 30 men have to work if the embankment is to be completed in 16 days? - Cesspool pit excavation
The Horniakovs dug a pit for a cesspool in the shape of a cuboid with bottom dimensions of 40*40 dm and a depth of 350 cm. A) How many cubic meters of soil did they dig up? B) The excavated soil was evenly spread and pressed onto a rectangular area measur - Segment center coordinates
The line PQ is defined by points with coordinates P = [−2; 4] and Q = [4; 0]. What are the coordinates of the midpoint S of the line segment PQ? - Railway arc length
On the tourist map with a scale of 1:50000, the section of the railway line between Bobrová Lhota and Javořiště is replaced by an arc of a circle with a radius of 6 cm. The arc is 90°. Determine the actual length of the track between the two villages. - Hydraulic - piston
The large piston of the hydraulic system has a capacity of 0.25 m² and a small 10 cm². How much force do we exert on the small piston to be lifted by 750 N? - Bottle defect proportion
The enamel for the production of bottles contains defects. The average number of caries is 15 per 100 kg. The bottle weighs 1 kg. What is the proportion of defective bottles? - Train speed calculation
The train covers the distance between two stations at a 60 km/h speed in 4.5 hours. How long would the trip take if the train could travel at a speed of 75 km/h?
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