A red bus leaves a theme park every 24 minutes and a blue bus leaves the theme park every 20 minutes they both leave the park at noon when is the next time that both buses will leave the park either 12:48 p.m. 1:20 p.m. 1:34 p.m. 1:40 p.m. or 2:00 p.m
2:00pm
which one do YOU think?
tutors know the answer...
HINT... 6 * 20 = 5 * 24
2:00
To determine when the next time is that both buses will leave the park, we need to find the least common multiple (LCM) of the two intervals: 24 minutes and 20 minutes.
The LCM of 24 and 20 can be found by listing the multiples of each number until a common multiple is found. The multiples of 24 are: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, and so on. The multiples of 20 are: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, and so on.
From the listed multiples, we can see that the least common multiple of 24 and 20 is 120 minutes.
Since the buses left the park at noon, we can calculate the next time they will leave the park by adding multiples of 120 minutes to noon.
Adding 120 minutes to noon gives us 12:00 p.m. + 120 minutes = 2:00 p.m.
Therefore, the next time that both buses will leave the park is 2:00 p.m.
So, the correct answer is 2:00 p.m.