Algebra - math word problems - page 231 of 302
Number of problems found: 6040
- Lottery
Fernando has two lottery tickets, each from the other lottery. In the first is 973 000 lottery tickets from them wins 687 000, the second has 1425 000 lottery tickets from them wins 1425 000 tickets. What is the probability that at least one Fernando's ti
- Agreement 68094
Janka and Katka live in villages 16 km away. They agreed to meet precisely halfway. Jana was driving at a speed of 4 km/h. Katka came out 30 minutes later. At what speed must Katka drive to fulfill the agreement?
- Coils of transformer
The transformer's primary coil has 1100 turns and is connected to a voltage of 220V. How many turns does the secondary coil have when the voltage is 55 V? Find the transformation ratio and decide what kind of transformation.
- Tractors 19713
Two tractors are working on plowing the field. If only the first tractor plowed, it would plow the field in 3 hours. The second tractor would plow the field by itself in 6 hours. How long will it take to plow if they work together, but the other starts wo
- Floating of wood - Archimedes law
Wooden balsa block has a density of 200 kg/m³ and a volume of 0.02 m³ floating in alcohol. Alcohol density is 789 kg/m³. What will be the volume of the floating part of a balsa block?
- Three-eighths 7930
The bicycle race route rises for two-fifths of its length, descends for three-eighths, and is flat for the rest. If the length of the uphill section is 4 km longer than the length of the downhill section, how long is the race route? a) 160 km b) 100 km c)
- Minutes 7660
The mile came from point A at 13 hours at a speed of 4 km/h. At 3.30 PM, Líba rode her at a speed of 20 km/h. How many minutes will Líba catch up with Milo?
- Pedestrian 7570
A pedestrian left town S at a speed of 4.2 km/h. After 1 hour and 10 minutes, a cyclist left the same city and in the same direction at a speed of 18 km/h. After how many minutes does the cyclist catch up with the pedestrian, and how far from town S?
- Calculate 7451
The car will cover a certain distance in 3 hours and 20 minutes. If he increases his speed by 10 km/h, he will cover this distance in 2.5 hours. Calculate this distance.
- Two buses
The first bus runs for 15 minutes, and the second bus runs after 21 minutes. Together, they both leave at 7:00 on Monday. When and what day will they meet?
- Average 6408
The truck drove out of the factory at an average speed of 60 km/h. A car drove past him in half an hour, and in an hour and a half, he caught up with him. What was the average speed, and how many km did she drive?
- The cruise ship
The cruise ship speeds 12 km/h at a calm surface. When we sailed 45 km along the river and 45 km back, it took us exactly 8 hours. Which (constant) speed of flow of the river?
- Circumference 3991
The circumference of the vehicle's front wheel is 1.44 m, and the circumference of the rear wheel is 2.56 m. How long did the vehicle travel when the front wheel made 560 more revolutions than the rear? For the unknown, choose the number of revolutions of
- Equation: 4386
Solve the power equation: 2.1463 = 0.4179x0.419
- Complete 6639
Complete the number series with another number, which is 150 on average: 43 69 87 125 197 211 298
- Tests
To obtain a grade A, Patrick must score an average of at least 70 on five tests. If his average mark for the four tests is 68, what is the lowest mark he can get on his fifth test and still obtain a grade A
- Together 7810
One painter would paint a school by himself in 28 days. The second painter would paint the school by himself in 24 days. They also called a third painter because they needed to paint the school in 8 days. The three of them painted the school together in 8
- Crowbar - lever
How much force must we apply to the end of a 2.4 m long crowbar to lift a door weighing 220 kg, if it stands on the crowbar 35 cm from its end, which is resting on the ground?
- Positional energy
What velocity in km/h must a body weighing 60 kg have for its kinetic energy to be the same as its positional energy at the height of 50 m?
- Voltmeter range
We have a voltmeter which, in the original set, measures voltage to 10V. Calculate the size of the ballast resistor for this voltmeter if we want to measure the voltage up to 50V. Voltmeter's internal resistance is 2 kiloohm/Volt.
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