document.write( "Question 498568: In a bicycle race, Lionel gives Robert a 500 km advantage. Also, Lionel agrees to start 15 minutes after Robert. If Lionel bikes at 17 km/h and Robert at 14 km/h, how long will it take Lionel after he starts biking to overtake Robert? \n" ); document.write( "
Algebra.Com's Answer #337275 by ankor@dixie-net.com(22740)\"\" \"About 
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a bicycle race, Lionel gives Robert a 500 km advantage.
\n" ); document.write( "Also, Lionel agrees to start 15 minutes after Robert.
\n" ); document.write( " If Lionel bikes at 17 km/h and Robert at 14 km/h, how long will it take Lionel
\n" ); document.write( " after he starts biking to overtake Robert?
\n" ); document.write( ":
\n" ); document.write( "I am going to go out on a limb here and say that you meant a 500 meter head-start.
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\n" ); document.write( "Change 15 min to .25 hr
\n" ); document.write( "Change 500 meter so .5 km
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\n" ); document.write( "Let t = L's travel time to catch R
\n" ); document.write( "then
\n" ); document.write( "(t+.25) = R's travel time when he is caught
\n" ); document.write( ":
\n" ); document.write( "L has to travel .5 km further than R
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation, dist = speed * time
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\n" ); document.write( "17t = 14(t+.25) + .5
\n" ); document.write( "17t = 14t + 3.5 + .5
\n" ); document.write( "17t - 14t = 3.5 + .5
\n" ); document.write( "3t = 4
\n" ); document.write( "t = \"4%2F3\" hr
\n" ); document.write( "t = 1 hr 20 min for L to catch R
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\n" ); document.write( "Confirm this by finding the actual distance each traveled
\n" ); document.write( "17(1.33) = 22.6 km
\n" ); document.write( ":
\n" ); document.write( "14(1.33+.25)
\n" ); document.write( "14(1.58) = 22.1 km, .5 km less than Lionel
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