# Buses

Buses Ikarus and Karosa simultaneously started at 8:00 from the final station. Ikarus is returned to the station after 30 minutes. Karosa after 45 minutes. At what time both buses again returned to the station?

Result

x = 9:30

#### Solution:

$30 = 2 \cdot 3 \cdot 5 \ \\ 45 = 3 \cdot 3 \cdot 5 \ \\ \ \\ \text{LCM}(30, 45) = 90 \ \\ x = 8 + 90/60 = 8 + 1.5 = 9:30$

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