document.write( "Question 1171220: A delivery truck follows a regular route that is 270 km. One day the driver begins the route half hour late. In order to finish on time, she drives the truck 6km/hr faster than usual. What is the truck's usual speed \n" ); document.write( "
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A delivery truck follows a regular route that is 270 km. One day the driver begins the route half hour late. In order to finish on time, she drives the truck 6km/hr faster than usual. What is the truck's usual speed
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Let truck's normal speed be S
\n" ); document.write( "Then usual time = \"270%2FS\"
\n" ); document.write( "We then get the following TIME equation: \"matrix%281%2C3%2C+270%2FS%2C+%22=%22%2C+270%2F%28S+%2B+6%29+%2B+1%2F2%29\"
\n" ); document.write( "270(2)(S + 6) = 270(2S) + S(S + 6) ------ Multiplying by LCD, 2S(S + 6)
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\n" ); document.write( "(S - 54)(S + 60) = 0
\n" ); document.write( "Normal speed of truck, or \"highlight_green%28matrix%281%2C4%2C+S%2C+%22=%22%2C+54%2C+mph%29%29\" OR S = - 60 (ignore) \n" ); document.write( "
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