# Buses

At the bus stop is at 10 o'clock met buses No. 2 and No. 9. Bus number 2 runs at an interval of 4 minutes and the bus number 9 at intervals of 9 minutes. How many times the bus meet to 18:00 local time?

Result

n =  13

#### Solution:

$4 = 2 \cdot 2 \ \\ 9 = 3 \cdot 3 \ \\ \ \\ \text{LCM}(4, 9) = 36 \ \\ \ \\ t = (18-10)\cdot 60 = 480 \ min \ \\ n = t/ 36 = 480 / 36 = 13.33 \doteq 13$

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