document.write( "Question 1159819: Two girls walk in a circular track. If theyove in the same direction at constant speed, thehmeet each other in 56 min. If they were moving with the same speed as before, but opposite directions, they would meet every 12 minutes and 46 seconds. Also in moving opposite direction, the approaching distance between the two girls decreases from 200 meters to 29 meters in 3 minutes. Find circumference of the track. \n" ); document.write( "

Algebra.Com's Answer #782967 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Two girls walk in a circular track.
\n" ); document.write( " If they move in the same direction at constant speed, they meet each other in 56 min.
\n" ); document.write( " If they were moving with the same speed as before, but opposite directions, they would meet every 12 minutes and 46 seconds.
\n" ); document.write( ":
\n" ); document.write( " Also in moving opposite direction, the approaching distance between the two girls decreases from 200 meters to 29 meters in 3 minutes.
\n" ); document.write( " find the closing speed of the girls:
\n" ); document.write( " $\"%28200-29%29%2F3\"$ = 57 meters/min is the closing speed
\n" ); document.write( "\"If they were moving with the same speed as before, but opposite directions, they would meet every 12 minutes and 46 seconds.\"
\n" ); document.write( "Change 12 m 46 sec to 12.767 min
\n" ); document.write( "We know their relative speed here is 57 meter/min, therefore
\n" ); document.write( "12.767 * 57 = 727.7 meters is the circumference on the track
\n" ); document.write( ":
\n" ); document.write( "We don't need to know their individual speeds to do this\r
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