### Brain Teasers

# Joe Schmo in Kalamazoo

Joe Schmo has an appointment in Kalamazoo at 2:00 pm. If he leaves home and travels at 15 miles per hour, he will arrive at 1:00 pm; if he travels at 10 miles per hour, he will not arrive until 3:00 pm. How far is it from his home to his appointment in Kalamazoo?

### Answer

60 miles. This requires some basic algebra and use of the formula distance = rate x time. Let the distance in question be d, and let t be the time it takes to travel distance d at 15 mph. Then the time it takes to travel distance d at 10 mph will be t + 2 hours. So we have the two equations:d=15t and d=10(t+2)

So therefore 15t = 10(t+2)

which with a little manipulation gives t = 4.

Since d=15t we get distance d = 60 miles.

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