Question

Bus A and Bus B leave the bus depot at 4 pm.
Bus A takes 15 minutes to complete its route once and bus B takes 35 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.

Answer 1

Answer:

5:45pm

Step-by-step explanation:

Find the LCM of the time it takes each bus to complete its route

Prime factorization:

15=3×5

35=5×7

LCM=3×5×7=105

Therefore they'll be back at the bus depot together after 105minutes

Now 105minutes=1hour45minutes

4pm+1.45hrs=5:45pm