algebra word problems
in a factory pf two different machines, A and B, are used to fill bottles. when the machines work together they fill the botlles in 2 hours. machine A works twice as fast as machine B. how long does it take machine B to fill the bottles when it works alone?
When two people or machines, etc., work together, their speeds add. Let T be the time, in hours, it takes T hours for B to fill the bottles so its speed is 1/T (jobs/hour). Since A works twice as fast, its speed it 2/T. Working together they have speed 1/T+ 2/T= 3/T. Since it took them 2 two hours to do the job together we know their speed together is really 1/2 job/hour.
Originally Posted by zorodzai
3/T= 1/2. Solve for T.
(This time I got in before earboth!)