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26 August, 21:59

Bus A and Bus B leave the bus depot at 4 pm. Bus A takes 15 minutes to do its route and bus B takes 35 minutes to complete its route. At what time are they both back at the bus depot together? Give your answer as a 12-hour clock time.

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  1. 26 August, 22:15
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    The bus will meet again at the depot at 5.45 pm

    Step-by-step explanation:

    Find the prime factors of 15:

    15 = 3 x 5

    Find the prime factors of 35:

    35 = 5 x 7

    Find the LCM:

    LCM = 3 x 5 x 7

    LCM = 105 mins

    Find the time that the bus will be at the depot together:

    Time = 4pm + 105 mins

    Time - 4 pm + 1 hour + 45 mins

    Time = 5.45 pm
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