document.write( "Question 433598: Anita and Reginald both enjoy rollerblading as an afternoon activity. Anita can run a particular course called the Silver Comet Trail in 7 hours. Reginald is able to rollerblade the same course in 5 hours. If Reginald and Anita start at opposite ends of the trail and rollerblade towards each other, how much time will have passed when they meet? (Hint: Think about this problem as a \"working together problem\") \n" ); document.write( "
Algebra.Com's Answer #300576 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Anita and Reginald both enjoy rollerblading as an afternoon activity. Anita can run a particular course called the Silver Comet Trail in 7 hours. Reginald is able to rollerblade the same course in 5 hours. If Reginald and Anita start at opposite ends of the trail and rollerblade towards each other, how much time will have passed when they meet? (Hint: Think about this problem as a \"working together problem\") \n" ); document.write( "..\r \n" ); document.write( "\n" ); document.write( "Like the hint says, solve it like a work problem: \n" ); document.write( "Reginald's hourly rate to travel the entire trail=1/7 \n" ); document.write( "Anita's hourly rate to travel the entire trail=1/5 \n" ); document.write( "Let x=hours they would have traveled when they meet. (time it takes when working together to travel the entire trail) \n" ); document.write( "sum of individual rates=rate when working together \n" ); document.write( "1/7+1/5=1/x \n" ); document.write( "LCD:35x \n" ); document.write( "5x+7x=35 \n" ); document.write( "12x=35 \n" ); document.write( "x=35/12 hrs or 175 minutes \n" ); document.write( "ans: \n" ); document.write( "175 minutes will have passed when Reginald and Anita meet on the trail. \n" ); document.write( " |