document.write( "Question 120599This question is from textbook algebra: structure and Method: book 1
\n" ); document.write( ": i need help with this problem!! The ratio of Alex's cycling speed to Bart's cycling speed is 6:5. Bart leaves school at 3:00 pm and alex leaves at 3:10 pm. By 3:30, Alex is only 2 km behind Bart. How fast is each boy going? PLEASE HELP!!! I AM SORRY IF THIS ISN'T ENOUGH INFO, BUT THAT IS ALL THAT IS IN THE BOOK!!!!!! \n" ); document.write( "
Algebra.Com's Answer #88430 by ankor@dixie-net.com(22740)\"\" \"About 
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The ratio of Alex's cycling speed to Bart's cycling speed is 6:5. Bart leaves school at 3:00 pm and Alex leaves at 3:10 pm. By 3:30, Alex is only 2 km behind Bart. How fast is each boy going?
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\n" ); document.write( "What we know here:
\n" ); document.write( "At 3:30:
\n" ); document.write( "B's traveling time = 30 min or \"1%2F2\" hr
\n" ); document.write( "A's traveling time = 20 min or \"1%2F3\" hr
\n" ); document.write( ":
\n" ); document.write( "If A's speed = x
\n" ); document.write( "Then B's speed = \"5%2F6\"x
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation: Distance = time * speed
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\n" ); document.write( "B's dist - A's dist = 2 km
\n" ); document.write( "\"%281%2F2%29%285%2F6%29\"x - \"1%2F3\"x = 2
\n" ); document.write( ":
\n" ); document.write( "\"5%2F12\"x - \"1%2F3\"x = 2
\n" ); document.write( ":
\n" ); document.write( "Multiply equation by 12 to get rid of the denominators
\n" ); document.write( "12*\"5%2F12\"x - 12*\"1%2F3\"x = 12(2)
\n" ); document.write( ":
\n" ); document.write( "Cancel out the denominators and you have:
\n" ); document.write( ":
\n" ); document.write( "5x - 4x = 24
\n" ); document.write( "x = 24 km/hr is A's speed
\n" ); document.write( ":
\n" ); document.write( "\"5%2F6\"24 = 20 km/h is B's speed
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check their distances from the start at 3:30:
\n" ); document.write( "B travels \"1%2F2\"*20 = 10 km
\n" ); document.write( "A travels \"1%2F3\"*24 = 8 km; 2km difference as given
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