document.write( "Question 207415: Sue heads due west from Dry Gulch on U.S. 65 at a steady speed of 55 mph (miles per hour) while Don heads due east from Wet Hollow (which is 840 miles west of Dry Gulch) on the same hi-way at 65 mph both start at the same time. After what time did they cross paths.
\n" ); document.write( "I would like this solved with respect to time. That is Time traveled by Don to crossing point is equal to time traveled by Sue to crossing point.
\n" ); document.write( "Time Traveled (Don) = Time Traveled (Sue). I can solve it by using Dist traveled but would like to see this worked out via time if it can be.
\n" ); document.write( "

Algebra.Com's Answer #156838 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Sue heads due west from Dry Gulch on U.S. 65 at a steady speed of 55 mph (miles per hour) while Don heads due east from Wet Hollow (which is 840 miles west of Dry Gulch) on the same hi-way at 65 mph both start at the same time. After what time did they cross paths.
\n" ); document.write( "I would like this solved with respect to time. That is Time traveled by Don to crossing point is equal to time traveled by Sue to crossing point.
\n" ); document.write( ":
\n" ); document.write( "Let x = Sue's travel dist
\n" ); document.write( "then
\n" ); document.write( "(840-x) = Don's travel dist
\n" ); document.write( ":
\n" ); document.write( "Using the time equation
\n" ); document.write( "Time = \"dist%2Fspeed\"
\n" ); document.write( ":
\n" ); document.write( "S's time = D's time
\n" ); document.write( "\"x%2F55\" = \"%28%28840-x%29%29%2F65\"
\n" ); document.write( "Cross multiply
\n" ); document.write( "65x = 55(840-x)
\n" ); document.write( ":
\n" ); document.write( "65x = 46200 - 55x
\n" ); document.write( ":
\n" ); document.write( "65x + 55x = 46200
\n" ); document.write( ":
\n" ); document.write( "120x = 46200
\n" ); document.write( "x = \"46200%2F120\"
\n" ); document.write( "x = 385 mi traveled by Sue
\n" ); document.write( "and
\n" ); document.write( "840 - 385 = 455 mi traveled by Don
\n" ); document.write( ":
\n" ); document.write( "Then find the time
\n" ); document.write( "385/55 = 7 hrs
\n" ); document.write( "Check it by finding the time of Don
\n" ); document.write( "455/65 = 7 hrs also
\n" ); document.write( "
\n" );