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Bus A and Bus B leave the bus depot at 6 pm.
Bus A takes 20 minutes to complete its route once and bus B takes 45 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.

 Feb 9, 2021
 #1
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Bus Bs route times will be:

 

45 mins

90 mins

135 mins

180 mins

 

Bus As times will be:

 

20 mins

40 mins

60 mins

...

180 mins.

 

Therefore 180 mins is the common factor, which is 9pm

 Feb 9, 2021
 #2
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LCM of 20 and 45  is 180min = 

   3 hours

 

6 Pm + 3 hours = 9 PM

 Feb 9, 2021

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