The sqrt of 19 is between 4.3 and 4.4.
The sqrt of 18 is between 4.2 and 4.3.
The sqrt of 22 is between 4.6 and 4.7.
And finally, the sqrt of 21 is between 4.5 and 4.6.
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Answer:
2.5 times per hour, on average
{0:00, 0:24, 0:48, 1:12, 1:36} then repeating at 2:00
Step-by-step explanation:
The least common multiple of the intervals is ...
LCM(8, 12) = 8·12/GCD(8, 12) = 8·12/4 = 24
The two buses will stop at the same time every 24 minutes. That is 60/24 = 2.5 times per hour.
Starting with the 6:00 am stop, the next joint stop is at 6:24, then 6:48. In the next hour, the stops are at 7:12 and 7:36. This sequence of times repeats, starting at 8:00 am. That is, the cycle repeats every 2 hours.