A bus arrives at Stop A every 14 minutes and a bus arrives at Stop B every 20 minutes. Buses arrived at both stops 5 minutes ago. After how many minutes will buses arrive at both stops at the same time again?

Respuesta :

The busses will arrive again at the same time in 135 minutes.

The given parameters;

at stop A = bus arrives every 14 minutes

at stop B = bus arrives every 20

The lowest common multiple of 14 and 20 is calculated as;

14 = 2 x 7

20 = 2² x 5

LCM = 2² x 5 x 7 = 4 x 5 x 7 = 140

The common time for both busses = 140 minutes

Before this 140 minutes, the busses have spent 5 minutes moving

The buses will arrive at the same stop again in:

140 minutes - 5 minutes = 135 minutes

Thus, the busses will arrive again at the same time in 135 minutes.

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