Themes, topics - math word problems - page 80 of 167
Number of problems found: 3333
- Meneal's 26771
Show (using Meneal's theorem) that the center of gravity divides the line in a 1:2 ratio. - The plan
The plan of the housing estate is on three scales 1:5000,1:10000,1:15000. The distance between two points on a plan with a scale of 1:10000 is 12 cm. What is this distance on the other two plans? What is this distance? - Triple density
How many times does the density of a steel pipe increase if we triple its length? - Disembarkation 26501
The escalator in the subway is moving at a speed of 0.7 m/s. Determine his debt if the time from the boarding to the disembarkation of the passenger elapses 62.3 s - Motorcycle engine
The motorcycle engine has a constant power of 1.2 kW for 0.5 hours. How much work does the engine do? Express work in kWh and Ws units. - Gas pipeline
Worker Molnár excavated the gas pipeline in 15 hours, worker Lakatoš in 12 hours, and worker Soukup in 10 hours. After how many hours of joint work will the excavation be completed? - Inclined plane
1. How much work W do we have to do to pull a body weighing 200 kg along an inclined plane with a length of 4 m to a total height of 1.5 m? 2. Find the force we need to exert to do this if we neglect frictional resistance. 3. Find the force we would need
- Motorcyclist and a car
The passenger car left at 7:00 and was heading east at a speed of 60 km/h. A motorcyclist left the same place and headed north at 40 km/h. What will be their air distance at ten o'clock? - Book reading
Suzan reads a book. If she read half an hour a day, she would read it in nine days. How many minutes does he have to read a day if he wants to read it three days earlier? - Temperature 25901
Calculate the speed of sound in the air a) at a temperature of t = 20 °C b) at a temperature of t = 27 °C - Construct 25851
A. Construct ∆ABC such that c = 55 mm, α = 45 °, β = 60 °. B. Draw any acute triangle and construct its heights. - Foundations 25831
How many kilograms of cement are used to concrete the foundations under the machine if the concrete slab has the shape of a cuboid 4.6 m long, 2.7 m wide, and 45 cm high if 250 kg of cement is used per 1 m³? - The tourist
The tourist walked a quarter of the way on the first day, a third of the rest on the second day, and 20 km on the last day. How many kilometers did he walk in three days? - Manufacturer 25771
On the Christmas flyer, we find a toy car model reduced in a ratio of 1:43. What is the car's actual length in the picture in decimetres if the manufacturer states a length of 14 cm? - Playground 25761
Vašek is supposed to be at the playground, 2.5 km away from his home, in 15 hours and 30 minutes. If he drives at 50 km/h, what time does he have to ride his bike to be on the field 5 minutes earlier?
- Fighter
A military fighter flies at an altitude of 10 km. The ground position was aimed at an altitude angle of 23° and 12 seconds later at an altitude angle of 27°. Calculate the speed of the fighter in km/h. - Probability 25631
A private company will hire two IT specialists. Tomáš is among the five registered candidates. What is the probability that he will not be accepted? - Six workers
Six workers earned a total of CZK 12,600 per week on the construction site (5 working days). How much do seven workers earn in 10 days with the same daily average salary? - Cyclist 25591 The cyclist rode 44 km and 400 m in three days. In the first hour, he covered the course 5% longer than in the second hour, and in the third hour, he covered 1 km more than in the first hour. How many km did he travel in the third hour?
- Water mixing
We have 520 ml of hot water and 640 ml of water at 48°C. What is the temperature of approximately hot water when the resulting mixture has a temperature of 65°C?
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