document.write( "Question 994696: A train travels 110 km in the same time that a plane covers 385km. If the speed of the plane is 20 km per hr less than 4 times the speed of the train, find both speeds. \n" ); document.write( "
Algebra.Com's Answer #613737 by josmiceli(19441)\"\" \"About 
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Let \"+s+\" = the speed of the train in km/hr
\n" ); document.write( "\"+4s+-+20+\" = the speed of the plane in km/hr
\n" ); document.write( "--------------------
\n" ); document.write( "Equation for train:
\n" ); document.write( "(1) \"+110+=+s%2At+\"
\n" ); document.write( "Equation for plane:
\n" ); document.write( "(2) \"+385+=+%28+4s+-+20+%29%2At+\"
\n" ); document.write( "----------------------
\n" ); document.write( "(2) \"+385+=+4s%2At+-+20t+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+s+=+110%2Ft+\"
\n" ); document.write( "-----------------
\n" ); document.write( "By substitution:
\n" ); document.write( "(2) \"+385+=+4%2A%28+110%2Ft+%29%2At+-+20t+\"
\n" ); document.write( "(2) \"+385+=+440+-+20t+\"
\n" ); document.write( "(2) \"+20t+=+55+\"
\n" ); document.write( "(2) \"+t+=+11%2F4+\"
\n" ); document.write( "\"+s+=+110%2Ft+\"
\n" ); document.write( "\"+s+=+110%2A%284%2F11%29+\"
\n" ); document.write( "\"+s+=+40+\"
\n" ); document.write( "and
\n" ); document.write( "\"+4s+-+20+=+4%2A%28110%2Ft+%29+-+20+\"
\n" ); document.write( "\"+4s+-+20+=++4%2A110%2A%284%2F11%29+-+20+\"
\n" ); document.write( "\"+4s+-+20+=+160+-+20+\"
\n" ); document.write( "\"+4s+-+20+=+140+\"
\n" ); document.write( "-----------------
\n" ); document.write( "The speed of the train is 40 km/hr
\n" ); document.write( "The speed of the train is 140 km/hr
\n" ); document.write( "-----------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+385+=+%28+4s+-+20+%29%2At+\"
\n" ); document.write( "(2) \"+385+=+140%2A%2811%2F4%29+\"
\n" ); document.write( "(2) \"+385+=+385+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+110+=+s%2At+\"
\n" ); document.write( "(1) \"+110+=+40%2A%2811%2F4%29+\"
\n" ); document.write( "(1) \"+110+=+110+\"
\n" ); document.write( "OK
\n" ); document.write( "
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