document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1157943>Question 1157943</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A private jet flies the same distance in 15 hours that a commercial jet flies in 10 hours.  If the speed of the commercial jet was 98mph less than 2 times the speed of the private jet, find the speed of each jet. </SPAN>\n" );
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document.write( "Answers:<BR>\n" );
document.write( "private jet's speed = <font color=red size=4>196 mph</font><BR>\n" );
document.write( "commercial jet's speed = <font color=red size=4>294 mph</font>\r<BR>\n" );
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document.write( "Work Shown:\r<BR>\n" );
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document.write( "p = speed of private jet<BR>\n" );
document.write( "c = speed of commercial jet<BR>\n" );
document.write( "speeds are in mph\r<BR>\n" );
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document.write( "\" the speed of the commercial jet was 98mph less than 2 times the speed of the private jet\"<BR>\n" );
document.write( "So,<BR>\n" );
document.write( "c = 2p-98\r<BR>\n" );
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document.write( "The private jet travels some distance d miles in t = 15 hours<BR>\n" );
document.write( "distance = rate*time<BR>\n" );
document.write( "d = r*t<BR>\n" );
document.write( "d = p*15<BR>\n" );
document.write( "d = 15p\r<BR>\n" );
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document.write( "and the commercial jet travels that same distance in t = 10 hours<BR>\n" );
document.write( "d = r*t<BR>\n" );
document.write( "d = c*10<BR>\n" );
document.write( "d = 10c\r<BR>\n" );
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document.write( "We're referring to the same distance d value, so we can equate the two right hand sides of the equations above<BR>\n" );
document.write( "15p = 10c\r<BR>\n" );
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document.write( "Now plug in c = 2p-98<BR>\n" );
document.write( "15p = 10c<BR>\n" );
document.write( "15p = 10( c )<BR>\n" );
document.write( "15p = 10( 2p-98 ) ... c has been replaced with 2p-98<BR>\n" );
document.write( "15p = 20p - 980 .... distribute<BR>\n" );
document.write( "15p-20p = -980 .... subtract 20p from both sides<BR>\n" );
document.write( "-5p = -980<BR>\n" );
document.write( "p = -980/(-5) .... divide both sides by -5<BR>\n" );
document.write( "p = 196\r<BR>\n" );
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document.write( "Use this value of p to find the value of c<BR>\n" );
document.write( "c = 2p - 98<BR>\n" );
document.write( "c = 2*196 - 98 ... replace p with 196<BR>\n" );
document.write( "c = 392 - 98<BR>\n" );
document.write( "c = 294\r<BR>\n" );
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document.write( "In summary, we found:<BR>\n" );
document.write( "p = 196<BR>\n" );
document.write( "c = 294<BR>\n" );
document.write( "meaning the private jet travels a speed of 196 mph and the commercial jet travels a speed of 294 mph\r<BR>\n" );
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