document.write( "Question 158128This question is from textbook Algebra and trigonometry
\n" ); document.write( ": A woman driving a car 14 ft long is passing a truck 30 ft long. The truck is traveling at 50 mi/h. How fast must the woman drive her car so that she can pass the truck completely in 6 s, from the position shown in figure (A) to the position shown in figure (B)?
\n" ); document.write( "(A)\r
\n" ); document.write( "\n" ); document.write( "---CARI --->
\n" ); document.write( "---------I
\n" ); document.write( "---------IT-R-U-C-K -->
\n" ); document.write( "---------I\r
\n" ); document.write( "\n" ); document.write( "(B)
\n" ); document.write( "-------------I
\n" ); document.write( "-------------ICAR -->
\n" ); document.write( "-------------I
\n" ); document.write( " T-R-U-C-KI --->
\n" ); document.write( "

Algebra.Com's Answer #116632 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
A woman driving a car 14 ft long is passing a truck 30 ft long. The truck is traveling at 50 mi/h. How fast must the woman drive her car so that she can pass the truck completely in 6 s, from the position shown in figure (A) to the position shown in figure (B)?
\n" ); document.write( "
\r\n" );
document.write( "She would really have to be flying to pass that truck in\r\n" );
document.write( "only 6 seconds.\r\n" );
document.write( "\r\n" );
document.write( "First we must change 50 mi/h to ft/s.\r\n" );
document.write( "\r\n" );
document.write( "\"%2850mi%29%2F%281h%29\"\r\n" );
document.write( "\r\n" );
document.write( "replace \"mi\" by \"5280ft\"\r\n" );
document.write( "replace \"1h\" by \"60min\"\r\n" );
document.write( "\r\n" );
document.write( "\"%2850%285280ft%29%29%2F%2860min%29\"\r\n" );
document.write( "\r\n" );
document.write( "replace \"min\" by \"60s\"\r\n" );
document.write( "\r\n" );
document.write( "\"%2850%285280ft%29%29%2F%2860%2860s%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"264000ft%2F%283600s%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28220ft%29%2F%283s%29\"\r\n" );
document.write( "\r\n" );
document.write( "So in 6 seconds, using \"d=rt\",\r\n" );
document.write( "the truck travels\r\n" );
document.write( "\r\n" );
document.write( "\"d=rt=%28%28220ft%29%2F%283s%29%29%286s%29=+440ft\"\r\n" );
document.write( "\r\n" );
document.write( "We start with the front bumper of the car even\r\n" );
document.write( "with the tailgate of the truck.\r\n" );
document.write( "\r\n" );
document.write( "So in that 6 seconds, the front bumper of the \r\n" );
document.write( "car must travel:\r\n" );
document.write( "\r\n" );
document.write( "1. the 440 feet which the truck travels in 6 seconds.\r\n" );
document.write( "2. the 30 feet from the tailgate of the\r\n" );
document.write( "   truck to the front bumper of the truck.\r\n" );
document.write( "3. the 14 feet to get the back bumper of\r\n" );
document.write( "   the car even with the front bumper of the\r\n" );
document.write( "   truck.\r\n" );
document.write( "\r\n" );
document.write( "That's a total of \"440%2B30%2B14=484\"feet, which she\r\n" );
document.write( "must travel in 6 second.  \r\n" );
document.write( "\r\n" );
document.write( "Now we find her rate using \"r=d%2Ft\"\r\n" );
document.write( "\r\n" );
document.write( "\"r=%28484ft%29%2F%286s%29\"\r\n" );
document.write( "\"r=%28484ft%29%2F%286s%29\"\r\n" );
document.write( "\"r=%28242ft%29%2F%283s%29\"\r\n" );
document.write( "\"r=%28242ft%29%2F%283s%29\"\r\n" );
document.write( "\r\n" );
document.write( "Now we must get that to \"mi%2Fh\":\r\n" );
document.write( "\r\n" );
document.write( "Multiply by \"%281mi%29%2F%285280ft%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"r=%28242ft%29%2F%283s%29\"×\"%281mi%29%2F%285280ft%29\"\r\n" );
document.write( "\r\n" );
document.write( "Multiply by \"60s%2F1min\"\r\n" );
document.write( "\r\n" );
document.write( "\"r=%28242ft%29%2F%283s%29\"×\"%281mi%29%2F%285280ft%29\"×\"60s%2F1min\"\r\n" );
document.write( "\r\n" );
document.write( "Multiply by \"%2860min%29%2F%281hr%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"r=%28242ft%29%2F%283s%29\"×\"%281mi%29%2F%285280ft%29\"×\"60s%2F1min\"×\"%2860min%29%2F%281hr%29\"\r\n" );
document.write( "\r\n" );
document.write( "Cancel the \"ft\", the \"s\", and the \"min\":\r\n" );
document.write( "\r\n" );
document.write( "\"r=%28242cross%28ft%29%29%2F%283cross%28s%29%29\"×\"%281mi%29%2F%285280cross%28ft%29%29\"×\"60cross%28s%29%2F1cross%28min%29\"×\"%2860cross%28min%29%29%2F%281hr%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"r=165\"\"mi%2Fh\"\r\n" );
document.write( "\r\n" );
document.write( "That's fast!!!  I don't she'll do it, do you?\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );