document.write( "Question 340963: Your word problem on the first page was changed from \"A freight train leaves the station traveling (50) miles an hour and a passenger train leaves the station 30 minutes later traveling (70) miles per hour. How long will it take for the passenger train to catch up with the freight train?\" to a totally different word problem no matter what tab I clicked. This was not helpful to me. Please show me how to set up a formula to solve this problem. \n" ); document.write( "
Algebra.Com's Answer #244202 by nerdybill(7384)\"\" \"About 
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A freight train leaves the station traveling (50) miles an hour and a passenger train leaves the station 30 minutes later traveling (70) miles per hour. How long will it take for the passenger train to catch up with the freight train?
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\n" ); document.write( "Apply the distance formula of:
\n" ); document.write( "d = rt
\n" ); document.write( "where
\n" ); document.write( "d is distance (miles)
\n" ); document.write( "r is rate or speed
\n" ); document.write( "t is time (hours)
\n" ); document.write( ".
\n" ); document.write( "Realize that 30 minutes = .5 hours
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\n" ); document.write( "Let x = hours traveled by the freight train
\n" ); document.write( "then
\n" ); document.write( "x - .5 = hours traveled by the passenger train
\n" ); document.write( ".
\n" ); document.write( "\"distance traveled by freight train\" = \"distance traveled by passenger train\"
\n" ); document.write( "50x = 70(x-.5)
\n" ); document.write( "50x = 70x-35
\n" ); document.write( "-20x = -35
\n" ); document.write( "x = 1.75 hours
\n" ); document.write( "or
\n" ); document.write( "x = 1 hour and 45 minutes\r
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