Examples - Work word problems
Example Solving Word Problems: Algebra Applications > Work Problems > Time to do alone, Time to do together
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What You Enter
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?
What You Get
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
Solution: t = 8 Hours
