You and a friend are both traveling from Seattle area.  You start 38 miles east of Seattle and travel east on interstate 90 at 62 miles per hour. Your friend starts 20 miles south of Seattle and travels south on interstate 5 at 65 miles per hour. Who would be farther from Seattle in two hours and by how much? How many hours will it take for you and your friend to be the same distance from Seattle?
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1 Answer

AA' is the distance you will travel in 2 hours=2*62=124. So total distance from Seattle is 124+38=162 miles.

BB' is the distance your friend will travel=2*65=130. So total distance from Seattle is 130+20=150 miles.

You would be 162-150=12 miles further from Seattle than your friend.

If t is the time at which the distances would be equal, 62t+38=65t+20; 18=3t, so t=6 hours. (The actual distance would be 372+38=390+20=410 miles.)

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