# Tram stop

At the tram stop met tram No. 4 and no. 5 at 10 AM. Tram no. 4 runs every 5 minutes, tram No. 5 at an interval of 7 minutes. How many times will meet until 12 o'clock?

Result

n =  3

#### Solution:

$5 = 5 \ \\ 7 = 7 \ \\ \ \\ \text{LCM}(5, 7) = 35 \ \\ 12-10 = 2 \ h = 120 \ min \ \\ n = 120/35 = 3.42 \doteq 3$

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