document.write( "Question 118233: Mr. Santos traveled for 2 hours at a constant speed. Because of patholes, he reduce his speed by 7 km per hour for the next 2 hours. if he traveled 206 km, what was his speed on the first part of the trip? \n" ); document.write( "

Algebra.Com's Answer #86338 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
There are are 2 parts of the trip. I'll call them $\"a\"$ and $\"b\"$
\n" ); document.write( "For part $\"a\"$ ,
\n" ); document.write( "speed = $\"s%5Ba%5D+=+s\"$ km/hr
\n" ); document.write( "time = $\"2\"$ hours
\n" ); document.write( "distance = $\"d%5Ba%5D+=+d\"$ km
\n" ); document.write( "For part $\"b\"$ .
\n" ); document.write( "speed = $\"s%5Bb%5D+=+s-7\"$
\n" ); document.write( "time = $\"2\"$ hours
\n" ); document.write( "distance = $\"d%5Bb%5D+=+206+-+d\"$ km
\n" ); document.write( " $\"d%5Ba%5D%2Fs%5Ba%5D+=+d%5Bb%5D+%2F+s%5Bb%5D\"$
\n" ); document.write( " $\"d+%2F+s+=+%28206+-+d%29+%2F+%28s+-+7%29\"$
\n" ); document.write( "Also, I know that $\"d+%2F+s+=+2\"$
\n" ); document.write( " $\"d+=+2s\"$
\n" ); document.write( " $\"d+%2F+s+=+%28206+-+d%29+%2F+%28s+-+7%29\"$
\n" ); document.write( " $\"2s+%2F+s+=+%28206+-+2s%29+%2F+%28s+-+7%29\"$
\n" ); document.write( " $\"2%28s+-+7%29+=+206+-+2s\"$
\n" ); document.write( " $\"2s+-+14+=+206+-+2s\"$
\n" ); document.write( " $\"4s+=+220\"$
\n" ); document.write( " $\"s+=+55\"$ km/hr answer
\n" ); document.write( "check answer
\n" ); document.write( " $\"d+=+2s\"$
\n" ); document.write( " $\"d+=+110\"$ km
\n" ); document.write( " $\"d+%2F+s+=+%28206+-+d%29+%2F+%28s+-+7%29\"$
\n" ); document.write( " $\"110+%2F+55+=+%28206+-+110%29+%2F+48\"$
\n" ); document.write( " $\"2+=+96+%2F+48\"$
\n" ); document.write( " $\"2+=+2\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );