Themes, topics - math word problems - page 110 of 167
Number of problems found: 3330
- Mathematical 7136
Out of 50 pupils, 44 solved at least one of the Olympiads - MO Mathematical Olympiad and BO Biology Olympiad. Twenty pupils still need to solve the MO. Of those who dealt with both Olympiads, 1/3 of those who dealt with just one were. How many pupils solv
- Bedrich and Adam
When Bedrich is as old as Adam today, Adam will be 14 years old. When Adam was as old as Bedrich, Bedrich was two years old today. How old are Adam and Bedrich today?
- MO Z8-I-1 2018
Fero and David meet daily in the elevator. One morning, they found that if they multiply their current age, they get 238. If they did the same after four years, this product would be 378. Determine the sum of the current ages of Fero and David.
- Acceleration of a train
The train passes 700 m, braking with an acceleration of -0.15 m/s². How long does it break, and what is the final speed of the train if the initial was 55 km/h?
- Acceleration 7123
The car starts to brake with an acceleration of -6.5 m/s² and stops on the track at 45m. What were the initial speed and braking time?
- Driver
The car driver drove at 100 km/h saw the obstacle and began braking with a slowing of 5 m/s². What is the pathway's length to stop the car when the driver has registered the obstacle with a delay of 0.7 seconds?
- Brakes of a car
For the brakes of a passenger car to be effective, it is prescribed that a car be moving on a horizontal road at a speed of 40 km. A car must stop on the track 15.4 m. What is the deceleration of the car?
- Electricity 7115
On Tuesday at 6 o'clock, the electricity supply was interrupted at 156 h. On which day (1 = Monday, ... 7 = Sunday) and at what time was the electricity supply resumed?
- Together 7114
Michaella has five crayons. Victor has fewer of them than Michaella. Vendelín has as many as Michaella and Vojto have together. All three have seven times more crayons than Victor. How many crayons does Vendelín have?
- Clubhouse
There were only chairs and tables in the clubhouse. Each chair had four legs, and the table was triple. Scouts came to the clubhouse. Everyone sat on their chair, two chairs were left unoccupied, and the number of legs in the room was 101. How many chairs
- Deposited 7096
Mr. Novák deposited CZK 50,000 a year in the bank at an annual interest rate of 4%. How much will pre-tax interest be after one year?
- Car overtaking
A passenger car travels at a speed of 30 m/s; before it travels, a freight truck drives at a constant speed of 10 m/s. Within 30 meters of the truck, the driver of the car finds out that the truck can not overtake. That's why it starts braking with an acc
- Two mass points
Two mass points start moving simultaneously in the same direction from the same location: the first point uniformly with a speed of 50 cm/s, and the second point uniformly accelerated with zero initial speed and an acceleration of 10 cm/s². Determine a) t
- Interested 7090
We call a natural number N bombastic if it contains no zero in its notation and if no smaller natural number has the same product of digits as the number N. Charles first became interested in bombastic prime numbers and claimed that there were not many of
- Brakes
The braking efficiency of a passenger car is required to stop at 12.5 m at an initial speed of 40 km/h. What is the acceleration braking by brakes?
- Two cars 6
Two cars leave the same place one after the other 15 seconds apart. Both are moving with uniform acceleration and zero initial velocity, the first car with an acceleration of 0.5 m/s², and the second car with an acceleration of 2 m/s². Determine a) the ti
- Acceleration 7074
A ball placed on an inclined plane begins to move and reaches a speed of 1 m/s in 5 s. Assuming that the ball's motion is uniformly accelerated, determine the magnitude of its acceleration and the distance it travels in the given time.
- An acceleration
The car goes on a straight road at a speed of 72 km/h. At some point, the driver starts to brake and stops the car in 5 seconds. Find: (a) the acceleration during braking and (b) the distance traveled during braking.
- Acceleration 7071
A tractor travels along a straight road at a speed of 15 m/s. The tractor driver starts braking with an acceleration of 2 m/s². Specify a) the magnitude of the speed and the path of the tractor in 5 s from the moment it started to brake b) the time for wh
- Train speed
The train speed is decreased from 72 km/h to 36 km/h in 50 seconds. If the train movement is continuously slowing, find the acceleration and the distance it travels.
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