document.write( "Question 667748: At what rate must motorist A travel to overtake motorist B who is traveling at a rate 20 miles/hour slower if A starts two hours after B and wishes to overtake B in 4 hours? \n" ); document.write( "
Algebra.Com's Answer #415250 by ankor@dixie-net.com(22740)\"\" \"About 
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At what rate must motorist A travel to overtake motorist B who is traveling at a rate 20 miles/hour slower if A starts two hours after B and wishes to overtake B in 4 hours?
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\n" ); document.write( "let r = the rate required by A to overtake B
\n" ); document.write( "Then
\n" ); document.write( "(r-20) = the rate of B
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\n" ); document.write( "Travel time of A is 4 hrs, travel time of B is 6 hrs
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\n" ); document.write( "Write a distance equation, both will have traveled the same dist when A catches B
\n" ); document.write( "dist = speed*time
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\n" ); document.write( "4r = 6(r-20)
\n" ); document.write( "4r = 6r - 120
\n" ); document.write( "120 = 6r - 4r
\n" ); document.write( "r = 120/2
\n" ); document.write( "r = 60 mph, to overtake in 4 hrs
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\n" ); document.write( "Confirm this by finding the distance each traveled, should be equal
\n" ); document.write( "4(60) = 240 mi
\n" ); document.write( "6(40) = 240 mi \n" ); document.write( "
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