Motion + least common multiple (LCM) - practice problems
Number of problems found: 9
- Runners circle
Pepa circles the track in 36 seconds. Kamil in 42 seconds. They started together. How many seconds will we meet again at the start? - Tram stop
At the tram stop, trams No. 4 and No. 5 met at 10 AM. Tram no. 4 runs every 5 minutes, tram No. 5 at an interval of 7 minutes. How many times will we meet until 12 o'clock? - Two buses
The first bus runs for 15 minutes. The second bus runs after 21 minutes. Together they both leave at 7:00 on Monday. When and what day will they meet? - 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? - Motorcycles 4313
Three racing motorcycles drive at different speeds on the autodrome. One motorcycle can go around the circuit in 2 minutes, the second in 4 minutes, and the third in 7 minutes. If all three bikes enter the race track simultaneously, how long before they a - Three
Three buses follow the same circular route. The first driver is the slowest because he has many stops, and it takes him 90 minutes to cross the route. The second driver will pass the circuit in 1 hour. The third driver has the fewest stops, and the circui - Two gears
The gearbox will use a large gear to turn a smaller gear. The large gear will make 75 revolutions per minute, while the smaller gear must make 384 revolutions per minute. Find the smallest number of teeth each gear could have. [Hint: Use either GCF or LCM - Calculate 81492
Jirka went on a moped for a three-day trip. He drove 90 km on the first day, 30 km on the second day, and 60 km on the third day. He always drove at the same average speed and always the whole number of hours. Calculate the average speed if Jirka drove at - Situation 6405
Three lines depart from the bus station at 6-minute, 8-minute, and 12-minute intervals during the morning rush hour. Once in a while, they come out at the same time. How many times between 5:30 and 8:30 does this situation occur if they first go out toget
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