three pigs entered a race around a track. Piggly takes 6 minutes to run one lap, piglet takes 3 minutes while wiggly takes 5 minutes. If all three pigs begin the race at 1:00pm at what time will all be at the starting point again?
What is the least common multiple of 6, 3, and 5?
30 is the least common multiple
thanks
Right.
at 1:30 PM
Hello?
I dont uderstand could u pls give me some explanations
:)
To determine when all three pigs will be at the starting point again, we need to find the least common multiple (LCM) of the time it takes for each pig to complete one lap.
The LCM of 6, 3, and 5 can be found by listing the multiples of each number until we find the first common multiple.
For Piggly (6 minutes per lap): 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...
For Piglet (3 minutes per lap): 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
For Wiggly (5 minutes per lap): 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, ...
The LCM of 6, 3, and 5 is 30 minutes because it is the first common multiple of all three numbers.
Since all the pigs start the race at 1:00pm, they will be back at the starting point together 30 minutes later.
Therefore, all three pigs will be at the starting point again at 1:00pm + 30 minutes = 1:30pm.