document.write( "Question 821706: A boy walks a 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 distance he walks. \n" ); document.write( "

Algebra.Com's Answer #494343 by TimothyLamb(4379) $\"\"$ $\"About$

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\n" ); document.write( "s = d / t
\n" ); document.write( "d = s * t
\n" ); document.write( "---
\n" ); document.write( "D = 9t
\n" ); document.write( "D = (9*4/3)(t - 4/3)
\n" ); document.write( "---
\n" ); document.write( "9t = (9*4/3)(t - 4/3)
\n" ); document.write( "t = (4/3)t - 16/9
\n" ); document.write( "(4/3)t - (3/3)t = 16/9
\n" ); document.write( "(1/3)t = 16/9
\n" ); document.write( "t = 3*16/9
\n" ); document.write( "t = 16/3 hours
\n" ); document.write( "---
\n" ); document.write( "D = 9t
\n" ); document.write( "D = 9*16/3
\n" ); document.write( "D = 3*16
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "D = 48 km
\n" ); document.write( "---
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