Tuesday, October 14, 2008

Solution to Sattellite Problem

To solve this question we will use the formula time = distance/rate. At the point that the two sattellites meet they will have traveled for the same length of time but the sattellite that started behind the first will have traveled 1000 miles further than the one that started in the front. We can use this information to set up two equations with the same variables.

T = d/17,000
T = (d + 2)/17,500


Since we established that they travel for the same length of time, we can set the two equations equal to each other.

d/17,000 = (d + 1000)/17,500

d = 34,000 miles


Source: mathcounts.org

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