Themes, topics - math word problems - page 172 of 174

Number of problems found: 3477

Short cut
Imagine that you are going to a friend. That path has a length of 120 meter. Then turn doprava and go other 630 meters, and you are at a friend's. The question is, how much will the journey be shorter if you go directly across the field?
Sea water
Mixing 63 kg of seawater with 43 kg of rainwater produces water containing 2.7% salt. What percentage of salt does the seawater contain?
Trains
On a double-track line between stations, K and M went against each other two trains. The first train passed the distance between stations for 1 hours, and the second, which had an average speed of 11 km/h more, passed for 0.65 hours. Calculate the distanc
Vinegar 2
If we mix 3.5 liters of 5.8 % vinegar with 5 liters of 7.6 % vinegar, how many percentages of vinegar solution will we get?
Coffee
In stock are three kinds of branded coffee with prices: I. Kind. .. .. .256 Kc/kg II. Kind. .. .. .341 Kc/kg III. Kind. .. .. 345 Kc/kg Mixing these three species in the ratio 2:3:9 creates a mixture. What will the price of 250 grams of this mixture be?
Acids
64% acid is made from the same acid of two different concentrations. The amount of weaker acid to the stronger acid is in the ratio 2:1. What was the concentration of the weaker acid if the stronger had 98% concentration?
Solution
In 201 l, the red solution is 143 l in red color, and in 227 l, the blue solution is 112 l in blue color. How many l of red and blue l color solution must be mixed to get a mixture of 242 l to contain 121 l of color?
Motion problem
One car travels from Martina to Levíc at 89 km/h. Another car travels from Levíc to Martina at 71 km/h. How many minutes before they meet will the two cars be 29 km apart?
Trains for people
Trains are often associated with delays. Calculate the average travel speed of a train on a 85 km route if the scheduled departure is 7:00 and arrival is 8:18, but the train is delayed — departing at 8:10 and arriving at 9:27.
Laws
From which law does the validity of Pythagoras' theorem in a right triangle directly follow? ...
Motion
A car and a bus set off toward each other from two locations 232 km apart. The car started at 6:20 at an average speed of 67 km/h. The bus started at 8:40 at an average speed of 74 km/h. When did they meet? How many kilometres had the bus travelled at the
Peroxide
How many litres of distilled water must a pharmacist add to 300 ml of 32.7% hydrogen peroxide solution to obtain a 2.8% gargling solution?
Vinegar
We need to dilute 36 litres of 9.1% vinegar solution to a 4.5% solution. How much water must be added?
Proof PT
Can Pythagoras' theorem be easily proved using the Euclidean theorems? If so, do it.
Motion2
A cyclist left town at 24 km/h. A car set off 0.5 hours later in the same direction and caught up with the cyclist in 58 minutes. How fast did the car travel, and how far from the town did it catch the cyclist?
Movement
Two cyclists set off from an intersection of two perpendicular roads, each taking a different road. One travels at an average speed of 16 km/h and the other at 25 km/h. Determine the distance between them after 20 minutes of cycling.
Forces
At point G, three mutually perpendicular forces act: F₁ = 16 N, F₂ = 7 N, and F₃ = 6 N. Determine the resultant force F and the angles between F and each of F₁, F₂, and F₃.
Resistors
Two resistors connected in parallel give a combined resistance of $R1 Ω, and connected in series give a combined resistance of $R2 Ω. Determine the resistance of each resistor.
Free fall
Pavel fell from a height of 9 m. Calculate the speed at which they hit the ground, given a gravitational acceleration of 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?

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