Time + reason - practice problems - page 8 of 19
Number of problems found: 365
- 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. - 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 s? - Age
In 1960, my age was equal to the digits sum of the year of my birth. What is my age now? - Car overtaking
A passenger car travels at a speed of 30 m/s, and before it travels freight truck that 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
- Sufficiently 7059
The king gave the mason Václav the task of building a wall 25 cm thick, 50 m long, and 2 m high. If Václav had worked without a break and at the same pace, he would have built a wall in 26 hours. However, according to the valid royal regulations, Wencesla - Five pupils
Five pupils clean 30 chairs one hour before four pupils. How many chairs clean one pupil in 1 hour? - The tourist
The tourist traveled 190km in 5 hours. Part of the journey passed at 5 km/h. The rest he went by bus at a speed of 60 km/h. How long has a bus gone? - Younger 7033
Cyril was four times less than Dalibor 3 years ago. How many years will Cyril be 2x less if he is 3x younger now? - Clock's gears
In the clock machine, three gears fit together. The largest has 168 teeth, the middle 90 teeth, and the smallest 48 teeth. The middle wheel turns around its axis in 90 seconds. How many times during the day do all the gears meet in the starting position?
- Simultaneously 6997
Two boys train to run on a 400 m closed track. They both run simultaneously from the same starting track in the same direction. Boy A runs at a constant speed of 5 m/s, and Boy B runs at a constant speed of 3 m/s. At what time does Boy A overtake Boy B fo - Tractors
Five tractors will plow the field for 8 hours. In 2 hours, one tractor broke down. How long do the remaining tractors complete the plow? - Special watch
Fero bought a special watch on the market. They have only one (minute) hand and a display showing the angle between the hour and minute hand. How many hours was his watch shown - the minute hand points to number 2; the display shows 125°. - Bricklayers
Seven bricklayers will build the house in 630 days. How many bricklayers do we need to take after 150 days to complete the building for (additional) 336 days? - Population growth
How many people will be on Earth from two people for 5,000 years if every couple always has four children (2 boys and two girls) at the age of 25-35, and every man will live 75 years?
- A clock
Mother set a clock right at 6:00 AM. If it gains 3 1/2 minutes per hour, what time will it show at 6:00 PM on the same day? Show your solution. - The small
The small hand of the wall clock is 15 cm long. What a long journey the end of the hour hand in 15 minutes will describe. (b - in 2 hours)? - Lunch
Seven classmates go every day for lunch. If they always come to the front in a different order, will it be enough school year to take of all the possibilities? - Great-grandfather 6705
Monika was born on the day his great-grandfather was 90 years old. How old is Monika if the product of their ages is 1000? - One-third 6704
What time is it now that the time that has elapsed since noon is one-third of the time before midnight?
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