document.write( "Question 389587: 24. A boy walks a certain distance at 9 km/h. He finds that if he increases his speed by 1/3, he would have saved 4/3 hours. Find the distances he walks \n" ); document.write( "
Algebra.Com's Answer #276161 by ankor@dixie-net.com(22740)\"\" \"About 
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A boy walks a certain distance at 9 km/h.
\n" ); document.write( " He finds that if he increases his speed by 1/3, he would have saved 4/3 hours.
\n" ); document.write( " Find the distances he walks
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\n" ); document.write( "Let d = distance he walks
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\n" ); document.write( "Find the increased speed: 9 + 1/3(9) = 12 km/hr
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\n" ); document.write( "Write a time equation; time = dist/speed
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\n" ); document.write( "9km/hr time - 12km/h time = 4/3 hrs
\n" ); document.write( "\"d%2F9\" - \"d%2F12\" = \"4%2F3\"
\n" ); document.write( "multiply by 36 to clear the denominators, results:
\n" ); document.write( "4d - 3d = 12(4)
\n" ); document.write( "d = 48 km is the distance
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\n" ); document.write( "Check solution by finding the times
\n" ); document.write( "48/9 = 5.33 hrs
\n" ); document.write( "48/12= 4.00 hrs
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\n" ); document.write( "diff = 1.33 hrs which is 4/3 hrs\r
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