Soda bottles factory

Two different filling machines fill soda bottles to order. If the first machine worked alone, it would need a third less time to complete the order. How long would it take each machine to complete the job independently if the faster machine worked for 96 minutes and the slower machine worked for two hours longer?

Correct answer:

a =  240 min
b =  360 min

Step-by-step explanation:

a=bb/3 = 2/3 b A=96 min B=A+2 60=96+2 60=216 min  A/a + B/b = 1 a=2/3 b  A/a + B/(3/2 a) = 1  A + B/(3/2) = a  a=A+B/(3/2)=96+216/(3/2) min=240 min
b=3/2 a=3/2 240=360 min



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