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| Math Central | Quandaries & Queries |
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Question from Stephanie, a parent: Starting at 8:00a.m., a passenger plane leaves from an airport every 6 minutes and a cargo plane leaves every 7 minutes. When is the next time these kinds of planes will leave at the same time? |
Hi Stephanie,
Suppose you keep track of the number of minutes after 8:00 am when the trains leave. The first train leaves at
\[6, 2\times6, 3\times 6, \cdot, \cdot, \cdot \mbox{ and so on.}\]
The second train leaves at
\[7, 2\times7, 3\times 7, \cdot, \cdot, \cdot \mbox{ and so on.}\]
What is the first number tat appears in both lists? What time is that?
Penny
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