document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194192>Question 1194192</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A boat leaves a dock and travels at the rate of 36 kilometers per hour. Twenty<BR>\n" );
document.write( "minutes later a second boat leaves the same dock and travels the same route at 50 kilometers per<BR>\n" );
document.write( "hour. How long will it take the second boat to be 5 kilometers behind the first boat? </SPAN>\n" );
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document.write( "The first boat travels at 36km/h for 20 minutes (1/3 hour) before the second boat starts, traveling (1/3)*36 = 12km.<br><BR>\n" );
document.write( "In order for the second boat to become 5km behind the first, the second boat has to travel 12-5 = 7km farther than the first.<br><BR>\n" );
document.write( "Related to the familiar formula<br><BR>\n" );
document.write( "(distance) = (rate) times (time)<br><BR>\n" );
document.write( "we have the corresponding formula<br><BR>\n" );
document.write( "(difference in distances) = (difference in rates) times (time)<br><BR>\n" );
document.write( "The difference in distances is 7km, and the difference in speeds is 50-36 = 14km/h, so<br><BR>\n" );
document.write( "7 = (14)*t<BR>\n" );
document.write( "t = 7/14 = 1/2<br><BR>\n" );
document.write( "ANSWER: It will take the second boat 1/2 hour, or 30 minutes, to get to where it is 5km behind the first boat.<br><BR>\n" );
document.write( " </SPAN>\n" );
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