Themes, topics - math word problems - page 129 of 174
Number of problems found: 3477
- Z7-I-5 MO 2017
Prokop constructed a triangle ABC whose interior angle at vertex A was greater than 60° and whose interior angle at vertex B was less than 60°. Juraj drew, in the half-plane determined by line AB and point C, a point D such that triangle ABD was equilater - Kinetic Energy Braking Force
Johnny is skating at a speed of 18 km/h. His kinetic energy is 0.5 kJ. Johnny weighs 40 kg. Calculate: 1. What work will the braking forces do before Johnny stops? 2. What is the braking force if Johnny stops after covering a distance of 14 m? - Travel Time for Distance
Students want to get from Žilina to Bratislava for a concert by a well-known music group. The distance between these places is 200 km. The estimated average speed is 80 km per hour. How long will it take them to travel? - A truck
A truck left Znojmo at 7 am. He drove to Ostrava at an average of 56 km/h. 15 minutes later. A car went out of Ostrava at the same route from Znojmo at 64 km/h. What time did both vehicles pass and at what distance from Znojmo, if you know that the road d - Task calculation
Jane had to calculate 70 tasks, and if she had solved two more daily tasks than she had planned, she would have finished four days earlier. How many days did she have to calculate the tasks? - Spruce planting
Mrs. Brown planted 50 spruce trees in three and a half hours in the morning. Mrs. Clark came in the afternoon, and together they planted another 100 spruce trees in four and a half hours. Find: A. How long would it take Mrs. Clark to plant 50 spruce trees - Speed increase
The tourist travels at an average speed of 3.5 km/h. The last train takes him 50 minutes. If he still has 5 km to go to the station, how much does he have to increase his speed? - Cyclist speed
Two cyclists set out simultaneously toward each other from opposite ends of a 28 km route. Each rode at a constant speed, with the faster cyclist reaching the finish line 35 minutes earlier. The cyclists passed each other after 1 hour of riding. At what s - Z7-1-6 MO 2017
The water sprite Chaluha was pouring fog into various differently sized vessels, which he had carefully arranged on a shelf. When pouring, he proceeded gradually from one side, skipping no vessel. Into each vessel at least a decilitre of fog fits. If he w - Material improvement
Material in a factory was originally enough for two workshops for 20 days. After implementing an efficiency improvement, the same material lasted 25 days. How many days will the material last for 5 workshops now? How many extra days of work do the saved m - Train delay
The train should be at the station for 10 minutes. It still has 32 km left. What is the expected delay if the train travels in 2 minutes 3 km except for the last section, 2 km in 5 minutes? - Fuel Cost per Kilometer
Our Octavia consumes 9 liters of gasoline per 100 kilometers. A liter of gasoline costs one euro. Write an expression for the cost of fuel needed to drive 1 kilometer. - Trapezoid construction
Construct an isosceles trapezoid, whose base is 6 cm long, the base forms an angle of 30 ° with the diagonal, and the arms are 4 cm long. - Loan Interest Rate Equalization
Charles took out a loan of EUR 600 from Ivan 20.2 at a 20% annual rate. From January 10.5, a loan of 1100 Euros at a 14% rate. From Milo 15.9, a loan of 900 Euros at an 11% rate. All three return 30.12. Determine the annual interest rate for all three loa - 3N on the number axis
The line represents the number axis, and the marked points correspond to the numbers a, - a, and a + 1, but in no particular order. Construct the points that correspond to the numbers 0 and 1. Discuss all the possibilities. - Tulips and daffodils
Two hundred twenty tulips and daffodils are planted in the flowerbed. One-third of all tulips and one-sixth of all daffodils equals the number of all tulips. How many tulips and how many daffodils? - Third pump
The first pump fills the pool in 12 hours. The second pump fills it in 15 hours. If all three pumps work, the pool will fill in 4 hours. How long will it take to fill the pool with only the third pump? - Number line arrangement
On a number line, consider the points corresponding to the values a, 2a, and 3a + 1 arranged in all possible orders. For each arrangement, decide whether it is possible. If yes, give a specific example; if not, explain why. - Work completion The two workers dug together for 6 hours. The first worker would do the work himself in 14 hours. How long would it take for the second worker to complete the task?
- Thunder and lightning
There was a glimpse of the sky, and we heard thunder in 4.5 seconds. The light spreads at 300,000 kilometers per second, so we can assume the flash instantly without delay. However, the sound's speed is much lower in the air, one-third of a kilometer per
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