Themes, topics - math word problems - page 128 of 169
Number of problems found: 3370
- Cyclists meeting
Two cyclists drove from two cities 66 km apart. One drove at an average speed of 18km/h, the other at 15 km/h. How many hours will they meet? - Competition participants
In the mathematical competition, its participants solved two tasks. Everyone solved at least one problem, while 80% of the participants solved the first problem, and 50% solved the second problem. Sixty participants solved both tasks. How many participant - Copper density
The copper roller weighs 547.4 g. To determine its volume, use the copper density, which is ρ = 8960 kg/m³. - Passenger trains
Two trains are traveling towards each other on parallel tracks, one at a speed of 34 km/h and the other at a speed of 47 km/h. A passenger sitting on the second train noticed that the first train passed him in 6 seconds. How long is the first train? - Four-digit number Find the smallest four-digit number abcd such that the difference (ab)²− (cd)² is a three-digit number written in three identical digits.
- Force Between Charged Balls
Calculate the force exerted by two balls with charges of +3 μC and - 4 μC when they are 60 mm apart. Calculate the influence of the environment for a vacuum (k = 9.109 m / F). - Casting material
What material is the casting that weighs 45.2 g and has a volume of 4 cm³? If it is a simple chemical element, write its chemical symbol. - Speed calculation
Daniel reached the destination in 3 hours. Peter came to this place in 4.5 hours. What speed was Daniel moving if we know that Daniel's speed was 30 km/h faster than Peter's, and they both started at the same time from the same place? - Motorcycle and car
A car travels 11000 decimeters per minute, and a motorcycle travels at a speed of 330 meters in 11 seconds. They leave Prague from the same place, and the motorcycle leaves 45 minutes later behind the car. Who will be closer to Vimperek after an hour and - Tree planting
Štěpán is planting trees. If he had planted 12 trees every hour instead of 9 trees, he would have finished 1 hour earlier. How many stems should he plant? - Pyramid intersection
Given a regular quadrilateral pyramid ABCDV, point M is inside its edge AV, and point N is on the long line DC beyond point C. Construct the intersection of the plane MNV with the plane BCV and the intersection of the line MN and the plane BCV. - Filling tank
The tank is filled to two-thirds of its volume. It will only be half full if we pump 100l of water from it. What is the volume of this tank? - The pool
The pool has a volume of 40 m3, and the water temperature is 20 °C. How much water at 100 °C should we pour into the pool to increase the water temperature by 5 °C? - ICE train
German runways test a new ICE train between Munich and Berlin. The train runs to Berlin at a slow speed of 110 km/h. Back from Berlin goes faster. How quickly did the train have to go on a return trip so that the average train speed for both journeys woul - Mow the lawn
Dano would mow the lawn in 12 hours and Milada in 16 hours. How long will it take the lawn mow together? - Intersect of 10 lines
At how many points do ten lines intersect if no two are parallel? - Mason with assistant
Mason had to complete the work in 10 days. Two and a half days later, his assistant arrived. Together, they completed the work in the next three and a half days. How many days would he need an assistant for the same work? - Direct route
From two different places A and B, connected by a direct route, Adam (from city A) and Bohus (from city B) started at a constant speed. As Adam continued to go from A to B, Bohus turned around at the time of their meeting, and at the same speed, he return - Order fulfillment
This company can complete the order in 168 days. The second company is better equipped and can fulfill the order in 120 days. The companies will fulfill the orders together. Determine how long it will take them to fulfill the order and in what proportion - Cars speeds
The distance from city A to city B is 108 km. Two cars were simultaneously started from both places. The speed of a car coming from city A was 2 km/h higher than the second car. What was the speed of each car if they met in 54 minutes?
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