document.write( "Question 953093: Paul travels 6km to work. He walks part of the way at 5km/h and gets a bus the rest of the way at 40km/h. The whole journey takes 30 minutes. How far does he walk? \n" ); document.write( "

Algebra.Com's Answer #582036 by macston(5194) $\"\"$ $\"About$

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w=distance walked; 6km-w=distance bused; t=time=distance/rate=30 min
\n" ); document.write( " $\"30+min=w%2F%285km%2Fhr%29%2B%286km-w%29%2F%2840km%2Fhr%29\"$ Find common denominator and add.
\n" ); document.write( " $\"30+min=%288%2F8%29%28w%2F5km%2Fhr%29%2B%286km-w%29%2F%2840km%2Fhr%29\"$
\n" ); document.write( " $\"30+min=%288w%2B6km-w%29%2F%2840km%2Fhr%29\"$ Multiply each side by 40km/hr.
\n" ); document.write( " $\"30min%2840km%2Fhr%29=7w%2B6km\"$ Convert to hrs and multiply.
\n" ); document.write( " $\"30min%281hr%2F60min%29%2840km%2Fhr%29=7w%2B6km\"$
\n" ); document.write( " $\"20km=7w%2B6km\"$ Subtract 6km from each side.
\n" ); document.write( " $\"14km=7w\"$ Divide each side by 7.
\n" ); document.write( " $\"2km=w\"$ ANSWER: Paul walks 2 kilometers.
\n" ); document.write( "CHECK:
\n" ); document.write( " $\"2km%2F%285km%2Fhr%29%2B%286km-2km%29%2F%2840km%2Fhr%29=30min\"$
\n" ); document.write( " $\"0.4hrs%2B4km%2F%2840km%2Fhr%29=30+min\"$
\n" ); document.write( " $\"0.4hr%2B0.1hr=30+min\"$
\n" ); document.write( " $\"0.5hr%2860min%2Fhr%29=30min\"$
\n" ); document.write( "30 min=30 min \n" ); document.write( "

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