document.write( "Question 1038787: B travels from home to school at 6km/h and returns same route at 8km/h in 70 minutes for entire joruney. What is the distance of school\r
\n" ); document.write( "\n" ); document.write( "A man travels certain distance at 30km/h and returns same route at 50kmh\.h and takes 5 hours for entire journey what is the total distance
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Algebra.Com's Answer #653509 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+d+\" = distance from home to school
\n" ); document.write( "Let \"+t+\" = time in hrs B takes at 6 km/hr
\n" ); document.write( "-------------------------------------
\n" ); document.write( "(a)
\n" ); document.write( "(1) \"+d+=+6t+\"
\n" ); document.write( "(2) \"+d+=+8%2A%28+70%2F60+-+t+%29+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "(2) \"+d+=+560%2F60+-+8t+\"
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+6t+=+56%2F6+-+8t+\"
\n" ); document.write( "(2) \"+14t+=+28%2F3+\"
\n" ); document.write( "(2) \"+t+=+2%2F3+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+d+=+6t+\"
\n" ); document.write( "(1) \"+d+=+6%2A%282%2F3%29+\"
\n" ); document.write( "(1) \"+d+=+4+\"
\n" ); document.write( "The distance from home to school is 4 km
\n" ); document.write( "---------------------------------------
\n" ); document.write( "(b)
\n" ); document.write( "(1) \"+d+=+30t+\"
\n" ); document.write( "(2) \"+d+=+50%2A%28+5+-+t+%29+\"
\n" ); document.write( "---------------------
\n" ); document.write( "(2) \"+d+=+250+-+50t+\"
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+30t+=+250+-+50t+\"
\n" ); document.write( "(2) \"+80t+=+250+\"
\n" ); document.write( "(2) \"+t+=+25%2F8+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+d+=+30t+\"
\n" ); document.write( "(1) \"+d+=+30%2A%2825%2F8%29+\"
\n" ); document.write( "(1) \"+d+=+15%2A%28+25%2F4+%29+\"
\n" ); document.write( "(1) \"+d+=+93.75+\"
\n" ); document.write( "\"+2d+=+187.5+\"
\n" ); document.write( "the total distance is 187.5 km
\n" ); document.write( "---------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+=+30t+\"
\n" ); document.write( "(1) \"+93.75+=+30%2A%2825%2F8%29+\"
\n" ); document.write( "(1) \"+750+=+30%2A25+\"
\n" ); document.write( "(1) \"+750+=+750+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+d+=+50%2A%28+5+-+t+%29+\"
\n" ); document.write( "(2) \"+93.75+=+50%2A%28+5+-+25%2F8+%29+\"
\n" ); document.write( "(2) \"+93.75+=+250+-+50%2A%28+25%2F8+%29+\"
\n" ); document.write( "(2) \"+750+=+8%2A250+-+25%2A50+\"
\n" ); document.write( "(2) \"+750+=+2000+-+1250+\"
\n" ); document.write( "(2) \"+750+=+750+\"
\n" ); document.write( "OK
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