Bus depot
Bus A and Bus B leave the bus depot at 3 pm.
Bus A takes 25 minutes to complete its route once and bus B takes 30 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.
Bus A takes 25 minutes to complete its route once and bus B takes 30 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.
If you write out when bus A will come you get
25 mins
50 mins
75 mins
100 mins
125 mins
150 mins
And then the same for bus B:
30 mins
60 mins
90 mins
120 mins
150 mins
So the buses will be there at the same time after 150 minutes ( it's the lowest common multiple)
150 minutes in hours is 2 hours 30 mins
3:00 plus 2 hrs 30 mins is 5:30
25 mins
50 mins
75 mins
100 mins
125 mins
150 mins
And then the same for bus B:
30 mins
60 mins
90 mins
120 mins
150 mins
So the buses will be there at the same time after 150 minutes ( it's the lowest common multiple)
150 minutes in hours is 2 hours 30 mins
3:00 plus 2 hrs 30 mins is 5:30
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