SOLUTION: A ship traveled at an average rate of 12 miles per hour going east. It then traveled at an average rate of 18 miles per hour heading south. If the ship traveled a total of 156

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Question 1090150: A ship traveled at an average rate of 12 miles per hour going east. It then traveled at an average rate of 18 miles per hour heading south. If the ship traveled a total of 156 miles in 10 hours, how many miles were traveled heading east?
Answer by jorel1380(3719)   (Show Source): You can put this solution on YOUR website!
Let n be the amount of time spent going east. Then, the amount of time spent going south would be 10-n. So:
(12n)²+18²(10-n)²=156²
144n²+32400-6480n+324n²=24336
468n²-6480n+8064=0
Solve for n
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