Bus stops 1

Number Theory Level pending

There are two buses which endlessly circuit and have departed from the same bus stop C.

The first, Bus A, departed at 0405 in the morning and takes 53 minutes to complete a circuit, arriving at C, and then departs again.

The second, Bus B, departed at 0412 but its journey is shorter and it only takes 31 minutes to complete. When is the soonest that both buses will be at the bus stop at the same time?

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