Question 65618
Runner A is initially 6.0 km west of a flagpole and is running with a constant velocity of 9.0 km/h due east. Runner B is initially 5.0 km east of the flagpole and is running with a constant velocity of 8.0 km/h due west. What will be the distance of the two runners from the flagpole when their paths cross? 
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 At the start runner A and runner B are 11 km apart.
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Eastbound runner DATA:
distance=x km ; rate= 9 k/h ; time= d/r=x/9 hr
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Westbound runner DATA:
distance = 11-x ; rate= 8 k/h ; time = d/r = (11-x)/8
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EQUATION:
time east= time west
x/9= (11-x)/8
8x=99-9x
17x=99
x=5.92 km (distance eastbound runner goes)
He will meet the westbound runner 6-5.92=0.08 km west of the flagpole.
Cheers,

Stan H.