document.write( "Question 524123: A plane can travel 910 miles with a 35 mph tailwind in the same time it can travel 760 miles with 49mph headwind. How fast can the plane travel with no wind resistance? \n" ); document.write( "

Algebra.Com's Answer #347595 by oberobic(2304) $\"\"$ $\"About$

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The basic distance equation is d=r*t
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\n" ); document.write( "910 = (s+35) * t, where s = indicated airspeed of the plane and t = time
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\n" ); document.write( "760 = (s-49) * t
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\n" ); document.write( "We are told t=t
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\n" ); document.write( "t = 910/(s+35)
\n" ); document.write( "and
\n" ); document.write( "t = 760(/(s-49)
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\n" ); document.write( "910/(s+35) = 760/(s-49)
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\n" ); document.write( "cross multiply
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\n" ); document.write( "910*(s-49) = 760*(s+35)
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\n" ); document.write( "910s - 44590 = 760s + 26600
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\n" ); document.write( "150s = 26600 + 44590 = 71190
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\n" ); document.write( "s = 71190/150
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\n" ); document.write( "s = 474.6 mph
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\n" ); document.write( "Check the times to be sure this answer is correct.
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\n" ); document.write( "t = 910/(s+35)
\n" ); document.write( "t = 910/(474.6+35)
\n" ); document.write( "t = 1.785714285714286
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\n" ); document.write( "t = 760(/(474.6-49)
\n" ); document.write( "t = 1.785714285714286
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\n" ); document.write( "Correct.
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\n" ); document.write( "Answer: With no wind resistance (or assistance) the airplane can fly 474.6 mph.
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\n" ); document.write( "Done. \n" ); document.write( "

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