![\"\"](\"/images/stars/stars-13.gif\")
You can put this solution on YOUR website!
3 persons, namely A, B and C started from the same point on the same time to turn around the pond.
\n" ); document.write( " The speed of A, B and C was 400m, 600m and 300m in per minute, and A turned
\n" ); document.write( " counter clockwise, B and C turned clockwise.
\n" ); document.write( " Then, A met C 3 minutes after A had met B. How many meters is the surrounding of the pond?
\n" ); document.write( ":
\n" ); document.write( "Summarize
\n" ); document.write( "A, 400m, CCw
\n" ); document.write( "B, 600m, CW
\n" ); document.write( "C, 300m, CW
\n" ); document.write( ":
\n" ); document.write( "Let d = distance around the pond
\n" ); document.write( "Let t = time for A to meet B
\n" ); document.write( "then
\n" ); document.write( "(t+3) = time for A to meet C
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation for A meets B (dist = speed*time)
\n" ); document.write( "d = 400t + 600t
\n" ); document.write( "d = 1000t
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation for A meeting C (3 min later)
\n" ); document.write( "d = 400(t+3) + 300(t+3)
\n" ); document.write( "d = 400t + 1200 + 300t + 900
\n" ); document.write( "d = 700t + 2100
\n" ); document.write( "Replace d with 1000t from the 1st equation
\n" ); document.write( "1000t = 700t + 2100
\n" ); document.write( "1000t - 700t = 2100
\n" ); document.write( "300t = 2100
\n" ); document.write( "t = 7 min for A to meet B
\n" ); document.write( "Find the dist
\n" ); document.write( "d = 1000(7)
\n" ); document.write( "d = 7000 meters around the pond
\n" ); document.write( ":
\n" ); document.write( "Confirm this by finding the distance using A meets C in 10 min
\n" ); document.write( "d = 10(400) + 10(300)
\n" ); document.write( "d = 4000 + 3000; \n" ); document.write( "