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Illustrative Algebra Problem: Hauling Christmas Trees

John and his son are hauling Christmas trees to market. The market is 420 miles from the tree farm.
John's truck averages 32 MPH and leaves at 8 am. Owen's truck averages 46 MPH and leaves at 9 am.
At what time will the two trucks be in the same location?

Solution Preview

Let J = John's distance from the farm
Let W = Owen's distance from the farm
Let t = hours ...

Solution Summary

This solution shows how to use algebra to determine when two trucks that leave a farm at different times and travel at different speeds will be in the same location.