document.write( "Question 102770This question is from textbook Beginning & Intermediate Algebra
\n" ); document.write( ": Two planes are 6,000 miles apart, and their speeds differ by 200 mph. They travel toward each other and meet in 5 hours. Find the speed of hte slower plane. \n" ); document.write( "
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Two planes are 6,000 miles apart, and their speeds differ by 200 mph. They travel toward each other and meet in 5 hours. Find the speed of the slower plane.
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\n" ); document.write( "Let t = speed of the slower plane
\n" ); document.write( "then
\n" ); document.write( "(t+200) = speed of the faster plane
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\n" ); document.write( "The travel time of the planes are the same; (5 hrs)
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\n" ); document.write( "Write a distance equation: Distance = time * speed
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\n" ); document.write( "Fast plane dist + slow speed dist = 6000
\n" ); document.write( "5(s+200) + 5s = 6000
\n" ); document.write( "5s + 1000 + 5s = 6000
\n" ); document.write( "10s = 6000 - 1000
\n" ); document.write( "10s = 5000
\n" ); document.write( "s = 5000/10
\n" ); document.write( "s = 500 mph is the slow plane
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\n" ); document.write( "Check solution
\n" ); document.write( "Fast plane: 500 + 200 = 700 mph
\n" ); document.write( "5*700 + 5*500 =
\n" ); document.write( "3500 + 2500 = 6000 miles
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