Question

A city's bus system has red line and a blue line. At the City's Hall Station, the red-line bus and the blue-line bus both arrive at 7:30 a.M. A red-line bus then arrives every 12 minutes, while a blue-line bus arrives every 10 minutes. Determine the least common multiple 10 and 12. What does this mean in terms of the bus system?

Answer 1

a) The least common multiple for 10 minutes and 12 minutes is 60 minutes.

b) What does this mean in terms of the bus system?

This means in terms of the bus system is that both the red line bus and the blue line bus will arrive at the SAME TIME after 60 minutes.

Explanation:

a) Determine the least common multiple 10 and 12.

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80

Multiples of 12:

12, 24, 36, 48, 60, 72, 84

The least common multiple is:

LCM(10, 12) = 60

b) What does this mean in terms of the bus system?

This means in terms of the bus system is that both the red line bus and the blue line bus will arrive at the SAME TIME after 60 minutes.