SOLUTION: Two buses leave the terminal at the same time. One bus completes its route in 75 minutes the other in 65 minutes. How many hours will pass before the buses meet back at the termina

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Question 1002801: Two buses leave the terminal at the same time. One bus completes its route in 75 minutes the other in 65 minutes. How many hours will pass before the buses meet back at the terminal?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Two buses leave the terminal at the same time.
One bus completes its route in 75 minutes the other in 65 minutes.
How many hours will pass before the buses meet back at the terminal?
:
Find the least common multiple of 75 and 65 using prime factoring
75: 3 * 5 * 5
65: 5 * 13
LCM: 3*5*5*13 = 975 minutes to be at the terminal at the same time
975min/60 = 16.25 hrs which is 16 hrs 15min
:
:
Check this, find how many trips each will make in 975 min
975/75 = exactly 13 trips
975/65 = exactly 15 trips