document.write( "Question 802971: If Maura were able to increase her average cycling speed by 3.5 km/n, she would be able to cover in 2 hours a distance at least as great as that which now takes 3 hrs. What is her best average speed at present? \n" ); document.write( "
Algebra.Com's Answer #484253 by ankor@dixie-net.com(22740)\"\" \"About 
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If Maura were able to increase her average cycling speed by 3.5 km/n,
\n" ); document.write( "she would be able to cover in 2 hours a distance at least as great as that which now takes 3 hrs.
\n" ); document.write( " What is her best average speed at present?
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\n" ); document.write( "Let s = the present average speed
\n" ); document.write( "then
\n" ); document.write( "(s+3.5) = the faster speed
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\n" ); document.write( "Write a distance equation; dist = time * speed
\n" ); document.write( "3s = 2(s+3.5)
\n" ); document.write( "3s = 2s + 7
\n" ); document.write( "3s - 2s = 7
\n" ); document.write( "s = 7 km/hr is the present cycling speed
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\n" ); document.write( "Check this by finding the distance at each speed. should be the same
\n" ); document.write( "3(7) = 21 km
\n" ); document.write( "2(7+3.5) = 21 km
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