SOLUTION: Nancy drives in traffic for 2 and 1/2 hours. After traffic dies down she travels another 4 and 1/2 hrs. at 42 mph. If the entire trip was 371 miles, how fast was she driving in t
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-> SOLUTION: Nancy drives in traffic for 2 and 1/2 hours. After traffic dies down she travels another 4 and 1/2 hrs. at 42 mph. If the entire trip was 371 miles, how fast was she driving in t
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Question 662901: Nancy drives in traffic for 2 and 1/2 hours. After traffic dies down she travels another 4 and 1/2 hrs. at 42 mph. If the entire trip was 371 miles, how fast was she driving in traffic?
You can put this solution on YOUR website! Nancy drives in traffic for 2 and 1/2 hours. After traffic dies down she travels another 4 and 1/2 hrs. at 42 mph. If the entire trip was 371 miles, how fast was she driving in traffic?
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1st leg DATA:
time = 5/2 hrs ; rate = x mph ; distance = (5/2)x miles
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2nd leg DATA:
time = 9/2 hrs ; rate = 42 mph ; distance = (9/2)*42 = 189 miles
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Equation:
distance + distance = 371
(5/2)x + 189 = 371
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(5/2)x = 182
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x = (2/5)182
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x = 72.8 mph(rate of the 1st leg)
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Cheers,
Stan H.