Time - math word problems - page 92 of 144
Time (latin tempus) is one of the fundamental physical quantities of SI. The base unit is 1 second. One second is defined as 9,192,631,770 transition oscillations in the Cs-133 atom (the atomic clock ticking). Time cannot be defined using other physical quantities - it is an essential - fundamental quantity. Derived units are minute, hour, day, week, year. For example, 1 minute is defined as 60 seconds. One hour is 3600 seconds. One day is 24 hours. Fractional seconds are 1 ms (millisecond), 1 μs (microsecond), and 1 ns (nanosecond). Frequency is the inverse of the duration of a phenomenon that repeats itself.Number of problems found: 2879
- The crime
The crime rate of a certain city is increasing by exactly 7% each year. If there were 600 crimes in 1990 and the crime rate remains constant each year, determine the approximate number of crimes in 2025. - Collision
The two bodies, whose initial distance is 240 m, consistently move evenly against each other. The first body has an initial velocity of 4 m/s and an acceleration of 3 m/s². The second body has an initial speed of 6 m/s and an acceleration of 2 m/s². Find - Car crash
A car crash occurred on the road with a maximum permitted speed of 60 km/h. From the length of the vehicle's braking distance, which was 40 m, the police investigated whether the driver did not exceed that speed. What is the conclusion of the police, assu - 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
- Trolleybus 7058
The trolleybus and the city transport bus left the terminal station at 6:00 a.m. at the same time. Both will return to it again by trolleybus after 40 minutes of travel, bus after 55 minutes of travel. At what time will both means of transport meet again - Acceleration 7054
The car brakes with an acceleration of 5 m/s-2. Determine the stopping distance of the car if its initial speed is a) 54 km/h, b) 108 km/h. Compare the calculated braking distances concerning the given speeds. - Difference 7050
I have 4 brothers. Mom was 22 years old when the oldest, Maroš, was born. Vlado is a year younger than him. There is a 3-year difference between Vlad and Ivan. Hugo was born 3 years before Ivan, and he is 2 years older than me; he is now 12 years old. How - Performs 7048
The older type of point device performs 50 spot welds in 10 minutes, and the new type has five more welds. In how many hours will the work produce a total of 945 welds? - 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? - Helene 7025
Helene is nine years old, and her father is four times more aged. How old is her father? - 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? - Two diggers
Two diggers should dig a ditch. If each of them worked one-third of the time the other digger needed, they'd dig up a 13/18 ditch together. Find the ratio of the performance of these two diggers.
- Temperature 5
The temperature outside starts at 0 Fahrenheit. Over time the temperature changes at a rate of -0.6 Fahrenheit per hour. How long will it take for the temperature to reach -4.5 Fahrenheit? - Younger 7012
Lena is seven years older than Monica. If both Lena and Monica were four years younger, she would be twice as old as Monica. How old is Lena? - Two masters
The two masters will make as many parts as five apprentices simultaneously. An eight-hour shift begins at 6 o'clock. When can a master finish the job to produce just as much as an apprentice for the whole shift? - Kocourkov 7007
The train will run from Kockov to Drakov in 2 hours and 40 minutes, from Oslice to Kocourkov in 180 minutes, and from Kocourkov to Mokrov in 2 hours and 30 minutes. Which route will the train travel in the shortest and which in the longest time? - Overtaking
On the direct road, the passenger car overtakes the slower bus by starting to overtake 20 meters from the bus and after passing it ahead of it again 20 meters away. The car overtakes at a steady speed of 72 km/h. The bus goes at a steady speed of 54 km/h.
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