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Math Asked by a SnapAndSolve user · about 2 hours ago

A train to Altrincham and a train to Birmingham leave together at 6:00 a.m. Trains to Altrincham leave...

A train to Altrincham and a train to Birmingham leave together at 6:00 a.m.
Trains to Altrincham leave every 15 minutes.
Trains to Birmingham leave every 18 minutes.
At what time will the trains to Birmingham and Altrincham next leave together?

Answer

To find when the trains will next leave together, we need to calculate the least common multiple (LCM) of the two intervals: 15 minutes and 18 minutes.

The prime factorization of 15 is 3 × 5.

The prime factorization of 18 is 2 × 32.

The LCM is found by taking the highest power of each prime number: 21 × 32 × 51 = 90.

Therefore, the trains will next leave together 90 minutes after 6:00 a.m., which is 7:30 a.m.

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