document.write( "Question 915785: One train goes 90 km from town a to town b another train takes 2.5 hours longer to travel the same distance at 50 km per hour . How far away are the two towns \n" ); document.write( "

Algebra.Com's Answer #555862 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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One train goes 90 km from town a to town b.
\n" ); document.write( "Another train takes 2.5 hours longer to travel the same distance at 50 km per hour.
\n" ); document.write( "How far away are the two towns?
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\n" ); document.write( "let d = distance between the towns
\n" ); document.write( ":
\n" ); document.write( "Write a time equation; time = dist/speed
\n" ); document.write( "50km/h time - 90km/h time = 2.5 hrs
\n" ); document.write( " $\"d%2F50\"$ - $\"d%2F90\"$ = 2.5
\n" ); document.write( "multiply equation by 450 to get rid of the denominators
\n" ); document.write( "450* $\"d%2F50\"$ - 450* $\"d%2F90\"$ = 450*2.5
\n" ); document.write( "Cancel the denominators and we have
\n" ); document.write( "9d - 5d = 1125
\n" ); document.write( "d = 1125/4
\n" ); document.write( "d = 281.25 km
\n" ); document.write( ":
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\n" ); document.write( "See if that checks out, find the actual time at each speed
\n" ); document.write( "281.25/50 = 5.625 hrs
\n" ); document.write( "281.25/90 = 3.125 hrs
\n" ); document.write( "-------------------------
\n" ); document.write( "difference: 2.500 hrs \n" ); document.write( "

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