document.write( "Question 88790: The average speed of a train is 20 miles per hour faster than that of a car.In 8 hours and 40 minutes , the train covers the same distance that the car covers in 13 hours . Find the average speed of each . \n" ); document.write( "
Algebra.Com's Answer #64692 by ankor@dixie-net.com(22740)\"\" \"About 
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The average speed of a train is 20 miles per hour faster than that of a car.In 8 hours and 40 minutes , the train covers the same distance that the car covers in 13 hours . Find the average speed of each .
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\n" ); document.write( "Let s = speed of the car
\n" ); document.write( "Then
\n" ); document.write( "(s+20) = speed of the train
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\n" ); document.write( "Change 8 hr 40 min to hrs: 8 + 40/60 = 8 & 2/3 hrs or 26/3 hrs
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\n" ); document.write( "Distance = time * speed
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\n" ); document.write( "car dist = train dist
\n" ); document.write( "13s = \"%2826%2F3%29%28s%2B20%29\"
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\n" ); document.write( "Mult equation by 3, get rid of the denominator:
\n" ); document.write( "3(13s) = 26(s+20)
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\n" ); document.write( "39s = 26s + 520
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\n" ); document.write( "39s - 13s = 520
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\n" ); document.write( "13s = 520
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\n" ); document.write( "s = 520/13
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\n" ); document.write( "s = 40 mph is the speed of the car
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\n" ); document.write( "60 mph is the speed of the train
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\n" ); document.write( "Check:
\n" ); document.write( "13*40 = 520
\n" ); document.write( "8&2/3 * 60 = 520 mi also \n" ); document.write( "
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