Example Question - buses

Buses and Timings

<p>Let the time taken for Bus A to complete a round trip be \( t_A \) and for Bus B be \( t_B \).</p> <p>Assuming Bus A takes 6 minutes for a trip, we have \( t_A = 6 \) minutes.</p> <p>Assuming Bus B takes double the time of Bus A, \( t_B = 2 \times t_A = 2 \times 6 = 12 \) minutes.</p> <p>To find the least common multiple (LCM) of 6 and 12:</p> <p>LCM(6, 12) = 12 minutes.</p> <p>Therefore, both buses will be back at the station together after 12 minutes.</p>