Themes, topics - math word problems - page 167 of 169

Number of problems found: 3370

Motion problem
From Martina to Levíc, go car at speed 89 km/h. From Levíc to Martina, go another car at speed 71 km/h. How many minutes before the meeting will be cars 29 km away?
Trains for people
It is said that the train is synonymous to delay. Calculate the average travel speed by train long 85 km, with a regular train leaving at 7:00 and arriving at 8:18, but the train is late and has a departure at 8:10 and arrives at 9:27.
Laws
From which law directly follows the validity of Pythagoras' theorem in the right triangle? ...
Motion
From two different locations, the distance 232 km started against the car and bus. The car started at 7:10 with an average speed of 74 km/h. The bus started at 8:40 with an average speed of 48 km/h. When did they meet? How many kilometers did the bus take
Peroxide
How much-distilled water (in liters) must pharmacists pour into 300 ml of 32.7% solution of hydrogen peroxide to get 2.8% solution to gargle?
Vinegar
We must dilute 36 liters of 9.1% aqueous vinegar to 4.5% one. How much water is necessary to add?
Proof PT
Can you easily prove Pythagoras' theorem using Euclidean theorems? If so, do it.
Motion2
The cyclist started off town at 24 km/h. The car started after 0.5 hours behind him in the same direction. It caught up with him for 58 minutes. How fast and how long did the car run from the city to catch cyclists?
Movement
Two cyclists (each on a different road) started from the crossing of two perpendicular roads. One runs at an average speed of 16 km/h, and the second 25 km/h. Determine the distance between them after 20 minutes of cycling.
Forces
In point, G acts three orthogonal forces: F₁ = 16 N, F₂ = 7 N, and F₃ = 6 N. Determine the resultant of F and the angles between F and forces F₁, F₂, and F₃.
Resistors
Two parallel resistors connected in series give the resulting resistance $R1Ω and $R2Ω. Determine the resistance of these resistors.
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
Pool
Water flows into a pool through two inlets and fills it in 5 hours. If the first inlet alone takes 5 hours longer than the second inlet alone, how long does each inlet take to fill the pool on its own?
Wiring
The conduit has a cross-section 54² mm. Maybe put it into 6 conductors with a cross section S2 $mm²?
Cyclist
A cyclist rides 7 km uphill in 46.9 minutes and the same distance downhill in 15.4 minutes, applying the same force to the pedals throughout. How long would it take to cycle the same 7 km on flat ground?
Floor
The room's floor area is 33 m², and its width is 4 m. How many centimeters of circumference was measured on the floor on the map at the scale 1:75?
Daily average
Calculate the average temperature during the day if the temperature was 24 °C for 14 hours and 14 °C for 10 hours.
Car - simple
The car is traveling at 77 km per hour. How long is the distance it can travel in 1 minute?
Map
Forest has an area of 77 ha. How much area is occupied by forest on the map at scale 1:10000?
Triangle P2
Can a triangle have two right angles?

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