document.write( "Question 937744: A train travels 300km at a constant speed of Vkm/h. If the train had travelled 5km/h faster, the journey would have taken two hours less. Find the speed of the train travelling at the lower speed. \n" ); document.write( "
Algebra.Com's Answer #571153 by stanbon(75887)\"\" \"About 
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A train travels 300km at a constant speed of Vkm/h. If the train had travelled 5km/h faster, the journey would have taken two hours less. Find the speed of the train travelling at the lower speed.
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\n" ); document.write( "Original DATA:
\n" ); document.write( "dist = 300 km ; rate = V km/hr ; time = d/r = 300/V hours
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\n" ); document.write( "Faster DATA:
\n" ); document.write( "dist = 300 km ; rate = (V+5)km/hr ; time = 300/(V+5) hrs
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\n" ); document.write( "Equation:
\n" ); document.write( "time - time = 2 hrs
\n" ); document.write( "300/V - 300/(V+5) = 2 hrs
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\n" ); document.write( "300V + 1500 - 300V = 2V(V+5)
\n" ); document.write( "2V^2 + 10V - 1500 = 0
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\n" ); document.write( "V^2 + 5V - 750 = 0
\n" ); document.write( "Factor::
\n" ); document.write( "(V-25)(V+30) = 0
\n" ); document.write( "Positive solution::
\n" ); document.write( "Ans:: V = 25 km/hr
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