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.
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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.
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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" );
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Algebra.Com's Answer #156838 by ankor@dixie-net.com(22740)![]() ![]() 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 = \n" ); document.write( ": \n" ); document.write( "S's time = D's time \n" ); document.write( " \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 = \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( " |