document.write( "Question 920275: Adam made a trip to see his college friend. The college is 295 miles
\n" ); document.write( "from Adam's house. He averaged 50 miles per hour (mph)) for most of
\n" ); document.write( "the trip but only 40 mph for the part where the road was under
\n" ); document.write( "construction. If the trip took 6 hours, how many miles of the road
\n" ); document.write( "were under construction?
\n" ); document.write( "

Algebra.Com's Answer #558263 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Adam made a trip to see his college friend. The college is 295 miles
\n" ); document.write( "from Adam's house. He averaged 50 miles per hour (mph)) for most of
\n" ); document.write( "the trip but only 40 mph for the part where the road was under
\n" ); document.write( "construction. If the trip took 6 hours, how many miles of the road
\n" ); document.write( "were under construction?
\n" ); document.write( "-----------------
\n" ); document.write( "1st part DATA:
\n" ); document.write( "rate = 50 mph ; distance = x miles ; time = d/r = x/50 hrs
\n" ); document.write( "------------------
\n" ); document.write( "2nd part DATA:
\n" ); document.write( "rate = 40 mph ; distance = 295-x miles ; time = d/r = (295-x)/40 hrs
\n" ); document.write( "-----
\n" ); document.write( "Equation:
\n" ); document.write( "time + time = 6 hrs.
\n" ); document.write( "x/50 + (295-x)/40 = 6
\n" ); document.write( "-----------------------
\n" ); document.write( "40x + 50(295-x) = 6*50*40
\n" ); document.write( "40x + 50*295 - 50x = 300*40
\n" ); document.write( "----
\n" ); document.write( "-10x = -2750
\n" ); document.write( "-----
\n" ); document.write( "x = 275 miles
\n" ); document.write( "295-x = 295-275 = 20 miles (road under construction)
\n" ); document.write( "-----------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "-----------------------------------------------
\n" ); document.write( "
\n" );