document.write( "Question 667186: a man cycled for some time at 16 km/h and returned at 15 km/h . the total time taken was 7 3/4 hours . find the total distance he cycled ? \n" ); document.write( "
Algebra.Com's Answer #414935 by ankor@dixie-net.com(22740)\"\" \"About 
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a man cycled for some time at 16 km/h and returned at 15 km/h . the total time taken was 7 3/4 hours . find the total distance he cycled ?
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\n" ); document.write( "Let d = the one-way distance
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\n" ); document.write( "Write a time equation, time = dist /speed; change 7\"3%2F4\" to 7.75 hrs
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\n" ); document.write( "\"d%2F16\" + \"d%2F15\" = 7.75
\n" ); document.write( "Multiply by 16*15; 240:
\n" ); document.write( "15d + 16d = 240(7.75)
\n" ); document.write( "31d = 1860
\n" ); document.write( "d = \"1860%2F31\"
\n" ); document.write( "d = 60 km
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\n" ); document.write( "Find the total distance he cycled?
\n" ); document.write( "2(60) = 120 km
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\n" ); document.write( "Check this by finding the time each way
\n" ); document.write( "60/15 = 4 hrs
\n" ); document.write( "60/16 = 3.75 hrs
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\n" ); document.write( "total time 7.75 hrs
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