Aman

Aman, Anna and Tina are participating in the school race. Anna completes a lap in 120 minutes, Aman completes a lap in 240 minutes and Tina completes a lap in 60 minutes. If they all started at the same time, then after how long will they meet again?

Correct result:

t =  240 min

Solution:

$$\begin{gathered} 120=2^3\cdot 3\cdot 5 \\ 240=2^4\cdot 3\cdot 5 \\ 60=2^2\cdot 3\cdot 5 \\ LCM(120,240,60)=2^4\cdot 3\cdot 5=240 \\ t=LCM(120,240,60)=240\text{ min} \end{gathered}$$

Try another example

Showing 0 comments:

Next similar math problems:

• Drivers
  Driver Franta and driver Karel are friends. They leave the start-stop both at the same time in the afternoon - at 13.30. When will they meet again if Franta goes around his route in 50 minutes and Karel in 40 minutes?
• Trams
  Two trams started at the same time from the same place. One tram journey takes 30 minutes and the second 45 minutes to its final stop. How long will trams meet again?
• Runners circle
  Pepa circles the track in 36 seconds. Kamil in 42 seconds. They started together. How many seconds will meet again at the start?
• Bus lines
  At 5.00 in the morning, four buses left the terminal at the same time. The first bus has an interval of 15 minutes, the second 20 minutes, the third 25 minutes, and the fourth 45 minutes. How many minutes will all four buses leave the terminal at the same
• Trams
  Tram no. 3,7,10,11 rode together from the depot at 5am. Tram No. 3 returns after 2 hours, tram No. 7 an hour and half, no. 10 in 45 minutes and no. 11 in 30 minutes. For how many minutes and when these trams meet again?
• Tram lines
  Trams of five lines driven at intervals of 5,8,10,12 and 15 minutes. At 12 o'clock come out of the station at the same time. About how many hours again all meet? How many times have earch tram pass for this stop?
• Three buses
  Three public transport buses depart together from the bus station in the morning. The first bus was returning to the station after 18 minutes, the second after 12 minutes and a third after 24 minutes. How long will again together on the station? Result ex
• Buses
  Buses Ikarus and Karosa simultaneously started at 8:00 from the final station. Ikarus is returned to the station after 30 minutes. Karosa after 45 minutes. At what time both buses again returned to the station?
• 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 buses
  The first bus runs 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?
• 3 buses
  At morning 5:00 am three buses started from one place. The first travel in five-minute intervals, the second at 10-minute intervals and the third at 25-minute intervals. At what hour will again be the three buses coming from the same place?
• Tram stop
  The blue tram stops every 12 minutes, the red one 8 minutes. At 8 o'clock they left the stop together. How many times do they meet at a stop before 11 am?
• Three Titanics
  Three steamers sailed from the same port on the same day. The first came back on the third day, fourth 4th day and the third returned sixth day. How many days after leaving the steamers met again in the harbor?
• Ships
  Red ship begins its circuit every 30 minutes. Blue boat begins its circuit every 45 minutes. Both ships begin their sightseeing circuit in the same place at the same time always at 10:00 o'clock. a / What time does meet boat again? b / How many times a da
• Tram stop
  At the tram stop met tram No. 4 and no. 5 at 10 AM. Tram no. 4 runs every 5 minutes, tram No. 5 at an interval of 7 minutes. How many times will meet until 12 o'clock?
• School
  Headteacher think whether the distribution of pupils in race in groups of 4,5,6,9 or 10. How many pupils must have at least school at possible options?
• Tractor wheels
  The front wheel of the tractor has a circumference of 18 dm and the rear 60 dm. We will make a red mark on the lowest point of both wheels. The tractor then starts. At what distance from the start will both marks appear identically at the bottom again?