SOLUTION: Bob drives his car at a speed that is 5 km /h faster than George. If Bob can drive 312 km in the same time that George drives 282 km /h, write a rational equation that relates the

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Question 1181108: Bob drives his car at a speed that is 5 km /h faster than George. If Bob can drive 312 km in the same time that George drives 282 km /h, write a rational equation that relates the two drivers’ time.
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
            SPEEDS         TIME           DIST.

Bob            r+5          312/(r+5)       312

George          r           282/r           282

Those two time quantities were given as equal, so
312%2F%28r%2B5%29=282%2Fr


%286%2A52%29%2F%28r%2B5%29=%286%2A47%29%2Fr

52%2F%28r%2B5%29=47%2Fr

52r=47%28r%2B5%29

52r=47r%2B235

5r=235

system%28r=47%2Cr%2B5=52%29