Respuesta :
Answer:
8:30 pm
Step-by-step explanation:
Bus A and Bus B leave the bus depot at 5 pm. Bus A takes 30 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?
We solve the above question using the Lowest Common Multiple Method.
We find the Multiples of 30 minutes and 35 minutes
Multiples of 30:
30, 60, 90, 120, 150, 180, 210, 240, 270
Multiples of 35:
35, 70, 105, 140, 175, 210, 245, 280
Therefore,
LCM(30, 35) = 210
The Lowest Common Multiple = 210. This means that bus A and bus B will be back at the same depot together after 210 minutes.
We add 210 minutes to 5pm
5 pm + 210 minutes
= 5 pm + 3 hours 30 minutes
= 8:30 pm
Bus A and Bus B will be back at the depot together by 8:30 pm.
