| George can wax his car three times as fast as Mary can. Together they can do the job in 6 hours. How long does it take each of them working alone? |
Let t = time for GEORGE alone in Hours.
GEORGE's time is 3 times faster than MARY's time.
Let 3t = time for MARY alone in Hours.
Time to do job together is 6 Hours.
1 1 1
- + -- = -- Eq #1
t 3t 6
18 + 6 = 3t Eq2: After multiplying by LCM = 18t
24 = 3t Eq3
3t = 24 Hours Time for MARY alone.
t = 8 Hours Time for GEORGE alone. Eq. 4
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