Question

Bus route A arrives at its stop every 15 minutes. Bus route B arrives at its stop across the street every 40 minutes. If both buses are currently arriving at their stops, how many hours will pass before both buses arrive at the same time?

Answer 1

Answer:

120 minutes

Step-by-step explanation:

15 x 8 = 120

40 x 3 = 120

Answer 2

The Number of hours passed for both buses to arrive at the same time is the value of the least common multiple of the stop made by each bus. Hence, 120 minutes will pass before the buses arrive at the same time.

Bus route A = 15 minutes

Bus route B = 40 minutes

Multiples of :

• 15 = 15, 30, 45, 60, 75, 90, 105, 120, 135
• 40 = 40, 80, 120, 160, 200, 240

The least multiple common to both 15 and 40 is 120.

Therefore, 120 minutes will pass before both buses arrive at the same time.

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