document.write( "Question 226560: A train travels 150 kilometers in the same time that a plane covers 400 kilometers. If the speed of the plane is 20 kilometers per hour less than 3 times the speed of the train, find both speeds. \n" ); document.write( "

Algebra.Com's Answer #168679 by RAY100(1637) $\"\"$ $\"About$

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Velocity = Distance / Time
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\n" ); document.write( "v(p) = d/t = 400/t
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\n" ); document.write( "v(t) = d/t = 150/t,,,,,note both times are same
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\n" ); document.write( "v(p)/ v(t) = 400/150 =2.67,,,,or v(p) = 2.67 v(t)
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\n" ); document.write( "v(p) = 3v(t) -20,,,,,,given
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\n" ); document.write( "subst from above
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\n" ); document.write( "(2.67 v(t) = 3v(t) -20
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\n" ); document.write( "-1/3 v(t) = -20
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\n" ); document.write( "v(t) = + 60 km /hr,,,,,,,,,v(p) = 3*60-20 = 160 km/hr
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\n" ); document.write( "Check, 60=150/t,,,,t= 2.5 hrs,,,train
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\n" ); document.write( "160=400/t,,,,,,t= 2.5 hrs ,,,,,plane ok
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\n" ); document.write( "160 = 3(60) -20 ,,,,,,ok
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