document.write( "Question 965068: Greg drove at a constant speed in a rainstorm for 294 miles. He took a break, and the rain stopped. He then drove 156 miles at a speed that was 3 mph faster than his pervious speed. If he drove for 9 hours, find the cars speed for each part of the trip. \n" ); document.write( "

Algebra.Com's Answer #589875 by MathTherapy(10552) $\"\"$ $\"About$

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Greg drove at a constant speed in a rainstorm for 294 miles. He took a break, and the rain stopped. He then drove 156 miles at a speed that was 3 mph faster than his pervious speed. If he drove for 9 hours, find the cars speed for each part of the trip.
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Let speed during 1st leg of trip, be S
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document.write( "Then speed during 2nd leg = S + 3
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document.write( "Time taken to complete 1st leg: 
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document.write( "Time taken to complete 2nd leg: 
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document.write( "We then get: 
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document.write( "294(S + 3) + 156S = 9(S)(S + 3) ------- Multiplying by LCD, S(S + 3)
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document.write( "(S - 49)(S + 2) = 0  
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document.write( "S, or speed on 1st leg =  mph            OR           S = - 2 (ignore)
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document.write( "Speed on 2nd leg: 49 + 3, or  mph \n" );
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