Train to Dacha

Two schoolgirls were traveling from the city to a dacha (summer cottage) on an electric train.

“I notice,” one of the girls said, “that the dacha trains coming in the opposite direction pass us every 5 minutes. What do you think-how many dacha trains arrive in the city in an hour, given equal speeds in both directions?”

“Twelve, of course,” the other girl answered, “because 60 divided by 5 equals 12.”

The first girl did not agree. What do you think?

Answer

If the girls had been on a standing train, the first girl’s calculations would have been correct, but their train was moving.

It took 5 minutes to meet a second train, but then it took the second train 5 more minutes to reach where the girls met the first train. So the time between trains is 10 minutes, not 5, and only 6 trains per hour arrive in the city.

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