Themes, topics - math word problems - page 66 of 168

Number of problems found: 3355

Mastering
The student masters the subject matter for the exam in Czech to 98%, from Math to 86%, and from Economics to 71%. What is the probability that he will fail in Math and that others will succeed?
Assistant 39951
The worker performs the repair work in 20 days, and his assistant does the job himself in 60 days. How many days would they work together?
Simultaneously 39941
The reservoir is filled with a large pump in 20 hours, a medium in 24 hours, and a small one in 30 hours. If all pumps are switched on simultaneously, how many hours will it be filled?
Atmospheric 39931
The area of the horizontal plate is 0.80 m². The atmospheric pressure around the plate is 1100 hPa. 1. How much pressure does the air exert on the plate from above? 2. What is its direction? 3. Is the magnitude of this force different if the plate is tilt
Coffee
One kilogram of cheaper coffee costs CZK 150, and one kilogram of more expensive coffee costs CZK 200. We have to prepare a mixture of 35 kg of coffee for 180 CZK. How do we prepare the mixture (how many of which kind of coffee do we need)?
Kilograms 39911
In a luxury praline factory, they prepared 3.2 kg of a mixture of two types of candies for CZK 273 per 1 kg. Marzipan candies cost 345 CZK/kg and nougat 255 CZK/kg. How many kilograms of each type of candy were used?
Buoyancy 39891
The balloon filled with hot air has a volume of 1440m³. How large a buoyancy force acted on the balloon in the air with a density of 1.3 kg/m³?
Pharmacist
The pharmacist had a 12 liter vessel of herbal lotion, which contained a 30% active ingredient. Her assistant poured 18 liters of herbal lotion, containing 45% of the active ingredient, into a container. What percentage of herbal lotion was produced?
Muesli
You want to mix your own muesli on a specialized website. 200 g of muesli base costs 170 CZK. You want to add cornflakes in chocolate to the basics. 50g of this ingredient costs 13 CZK. How much do you pay for a 150g mixture when both components weigh the
Together 39671
Three workers were to lay the parquet floor. If everyone worked alone, the first would finish the job in 30 hours, the second in 24 hours, and the third in 20 hours. How long will they do the floor if they work together?
Zubrohlava 39643
From Zubrohlava to Bobrov, there is one asphalt road, two forest roads, and one bike path. Find the number of ways we can get from Zubrohlava to Bobrov and back. List all options.
20-meter-long 39603
Two workers will pave a 20-meter-long sidewalk in 5 days. Determine how long it would take to pave the sidewalk: a) 4 workers b) 5 workers c) 10 workers
Woodcutter 39491
A bark beetle attacked part of the forest. The first woodcutter would need ten shifts to clear the forest, the second 6 shifts, and the third five shifts. Calculate how many shifts the forest will take if they work together.
Approximately 39443
On the map of Bratislava, with a scale of 1:200,000, the length of the river Danube is about 12.3 cm. Approximately how many km of Danube flows through this area?
Dimensions 39343
Determine the density of sheet glass with dimensions 2m x 2m x 1dm and a weight of 500kg.
Ethanol turbine
How much power can we get if we pour ethanol on a mini turbine from a height of 1.5 m Volume Ethanol 0.2 m³. How much work does ethanol do? The casting time is 1.9 minutes. The density of ethanol is 789 kg/m².
Average speed
The car drove from city A to city B at 40 km/h and back to city A at a speed of 80 km/h. What was the average speed of the car?
Škoda cars
At 8:30 AM, car Škoda 120 started from Prievidza at 60 km/h toward Bratislava. At 9:00, we started from Prievidza in the same direction as Škoda Rapid at 90 km/h. Where and when will Škoda Rapid catch up with Skoda 120?
Bratislava 39211
A bus left Žilina towards Bratislava at 9:00 a.m. at an average speed of 60 km/h. After a certain time, a Škoda Superb set off from Žilina in the same direction at a speed of 100 km/h and overtook the bus after 45 minutes. When did Škoda leave Žilina?
Revitalization 39191
Workers are building a new sidewalk while revitalizing the housing estate. Six workers will do the work in 12 days, but this is a problem because the sidewalk must be completed in 10 days to complete the work on time. How many workers must be hired to com

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