SOLUTION: A takes 45 seconds to do 1 lap. B runs the opposite direction and meets A every 25 seconds. How long does it take for B to do 1 lap?

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Question 971433: A takes 45 seconds to do 1 lap. B runs the opposite direction and meets A every 25 seconds. How long does it take for B to do 1 lap?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
In +25+ sec, A has run +25%2F45+=+5%2F9+ of a lap
That means B, going in the opposite direction, has
run +4%2F9+ of a lap.
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So, B's rate is +4%2F9+ of a lap in +25+ sec
+d+=+r%2At+
+1+=+%28%28+4%2F9+%29+%2F+25+%29%2At+
+25+=+%28+4%2F9+%29%2At+
+225+=+4t+
+t+=+56.25+
B does 1 lap in 56.25 sec
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check:
+1+=+%28%28+4%2F9+%29+%2F+25+%29%2At+
+1+=+%28%28+4%2F9+%29+%2F+25+%29%2A56.25+
+1+=+%28+.4444+%2F+25+%29%2A56.25+
+1+=+.01777%2A56.25+
+1+=+.9999956+
eror due to rounding off