document.write( "Question 696811: To cover 14 km distance , anubhav cycles at a certain average speed. If he reduces his average speed by1 km/hr , he takes 20 min more to cover the same distance. find the original speed. \n" ); document.write( "
Algebra.Com's Answer #429349 by stanbon(75887)\"\" \"About 
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To cover 14 km distance , anubhav cycles at a certain average speed. If he reduces his average speed by1 km/hr , he takes 20 min more to cover the same distance. find the original speed.
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\n" ); document.write( "1st trip DATA:
\n" ); document.write( "distance = 14 km ; speed = x km/hr ; time = 14/x hrs
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\n" ); document.write( "2nd trip DATA:
\n" ); document.write( "distance = 14 km ; speed (x-1) km/hr ; time = 14/(x-1) hrs
\n" ); document.write( "-------
\n" ); document.write( "Equation:
\n" ); document.write( "time - time = 1/3 hr
\n" ); document.write( "----
\n" ); document.write( "14/(x-1) - 14/x = 1/3
\n" ); document.write( "----
\n" ); document.write( "3*14x - 3*14(x-1) = x(x-1)
\n" ); document.write( "42x - 42x - 42 = x^2 - x
\n" ); document.write( "---
\n" ); document.write( "x^2 -x + 42 = 0
\n" ); document.write( "Factor:
\n" ); document.write( "(x-7)(x+6) = 0
\n" ); document.write( "Positive solution:
\n" ); document.write( "x = 7 km/hr (original speed)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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