document.write( "Question 124730: Wilma drove at an average speed of 50 mi/h from her home in City A to visit her sister in City B. She stayed in City B 10 hours, and on the trip back averaged 45 mi/h. She returned home 40 hours after leaving. How many miles is City A from City B \n" ); document.write( "
Algebra.Com's Answer #91509 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Wilma drove at an average speed of 50 mi/h from her home in City A to visit her sister in City B. She stayed in City B 10 hours, and on the trip back averaged 45 mi/h. She returned home 40 hours after leaving. How many miles is City A from City B \n" ); document.write( ": \n" ); document.write( "First of all, let's just concern ourselves with the traveling time: \n" ); document.write( "Subtract the 10 hr stay from the total time (40 hr) she was gone; \n" ); document.write( "She had 30 hrs on the road \n" ); document.write( ": \n" ); document.write( "Let d = distance from A to B \n" ); document.write( ": \n" ); document.write( "Write a time equation: Time = \n" ); document.write( ": \n" ); document.write( "Time to B + time to A = 30 hrs \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Multiply equation by a multiple of both denominators, 450 would do it: \n" ); document.write( "450* \n" ); document.write( "Cancel out the denominators and you have: \n" ); document.write( ": \n" ); document.write( "9d + 10d = 13500 \n" ); document.write( ": \n" ); document.write( "19d = 13500 \n" ); document.write( "d = \n" ); document.write( "d = 710.5 miles from A to B \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution by finding the time each way and finding the total time: \n" ); document.write( "710.5/50 = 14.2 hrs \n" ); document.write( "710.5/45 = 15.8 hrs \n" ); document.write( "-------------------- \n" ); document.write( "Total time 30.0 hrs as given \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Did I make this understandable? Any questions?\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |