document.write( "Question 1148226: The president of a company traveled 1800 mi by jet and 200 mi on a prop plane. The rate of the jet was four times the rate of the prop plane. The entire trip took 8 hr. Find the rate of the jet \n" ); document.write( "
Algebra.Com's Answer #769584 by josmiceli(19441)\"\" \"About 
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Let \"+t+\" = time in hrs for the jet
\n" ); document.write( "\"+8+-+t+\" = time in hrs for the prop plane
\n" ); document.write( "Let \"+s+\" = the speed of the prop plane in mi/hr
\n" ); document.write( "\"+4s+\" = the speed in mi/hr of the jet
\n" ); document.write( "----------------------------------------------------
\n" ); document.write( "Equation for jet:
\n" ); document.write( "(1) \"+1800+=+4s%2At+\"
\n" ); document.write( "(1) \"+450+=+s%2At+\"
\n" ); document.write( "Equation for prop plane:
\n" ); document.write( "(2) \"+200+=+s%2A%28+8+-+t+%29+\"
\n" ); document.write( "-------------------------------
\n" ); document.write( "(1) \"+s+=+450%2Ft+\"
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) \"+200+=+%28+450%2Ft+%29%2A%28+8+-+t+%29+\"
\n" ); document.write( "(2) \"+200t+=+3600+-+450t+\"
\n" ); document.write( "(2) \"+650t+=+3600+\"
\n" ); document.write( "(2) \"+t+=+72%2F13+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+450+=+s%2At+\"
\n" ); document.write( "(1) \"+450+=+s%2A%2872%2F13%29+\"
\n" ); document.write( "(1) \"+s+=+450%2A%2813%2F72%29+\"
\n" ); document.write( "(1) \"+s+=+4850%2F72+\"
\n" ); document.write( "(1) \"+s+=+81.25+\"
\n" ); document.write( "and
\n" ); document.write( "\"+4s+=+325+\"
\n" ); document.write( "The speed of the jet is 325 mi/hr
\n" ); document.write( "-------------------------------------
\n" ); document.write( "check answer:
\n" ); document.write( "(1) \"+1800+=+4s%2At+\"
\n" ); document.write( "(1) \"+1800+=+325%2A%2872%2F13%29+\"
\n" ); document.write( "(1) \"+1800+=+1800+\"
\n" ); document.write( "OK
\n" ); document.write( "(2) \"+200+=+s%2A%28+8+-+t+%29+\"
\n" ); document.write( "(2) \"+200+=+81.25%2A%28+8+-+72%2F13+%29+\"
\n" ); document.write( "(2) \"+200+=+650+-+450+\"
\n" ); document.write( "(2) \"+200+=+200+\"
\n" ); document.write( "OK
\n" ); document.write( "Get a 2nd opinion if needed
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