document.write( "Question 197408: Lan leaves Avon at noon biking to Batavia at 16 km/h at 1pm. Joey leaves Batavia abd bikes toward Avon at 20 km/h. If the distance between Avon and Batavia is 70 km, at what time do Lan and Joey meet? \n" ); document.write( "
Algebra.Com's Answer #148033 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Lan leaves Avon at noon biking to Batavia at 16 km/h \n" ); document.write( "At 1pm, Joey leaves Batavia abd bikes toward Avon at 20 km/h. \n" ); document.write( "If the distance between Avon and Batavia is 70 km, at what time do Lan and Joey meet? \n" ); document.write( ": \n" ); document.write( "Let t = L's travel time (leaves at noon) \n" ); document.write( "then \n" ); document.write( "(t-1) = J's travel time (leaves at 1 PM) \n" ); document.write( ": \n" ); document.write( "When the two meet, they will have traveled a total of 70 km. \n" ); document.write( ": \n" ); document.write( "Write a distance equation: dist = speed * time \n" ); document.write( "; \n" ); document.write( "L's dist + J's dist = 70 km \n" ); document.write( "16t + 20(t-1) = 70 \n" ); document.write( ": \n" ); document.write( "16t + 20t - 20 = 70 \n" ); document.write( ": \n" ); document.write( "36t = 70 + 20 \n" ); document.write( "t = \n" ); document.write( "t = 2.5 hrs which is 2 hr 30 min \n" ); document.write( "therefore \n" ); document.write( "they will meet a 2:30 PM \n" ); document.write( "; \n" ); document.write( "; \n" ); document.write( "Check solution, find the distance of each \n" ); document.write( "2.5*16 = 40 \n" ); document.write( "1.5*20 = 30 \n" ); document.write( "----------- \n" ); document.write( "total = 70 km \n" ); document.write( " |