SOLUTION: A machine caps a 1000 bottles in 10 minutes, another machine caps 1000 bottles in 8 minutes. a) If these machines were together how much time will it take to cap 1000 bottles? b

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Question 729483: A machine caps a 1000 bottles in 10 minutes, another machine caps 1000 bottles in 8 minutes.
a) If these machines were together how much time will it take to cap 1000 bottles?
b) if t1 and t2 are the time in the above problem. Determine the time taken by both machines working together?
c) What expression corresponds to the time it takes 2 machines to do a job if the first one does it in (a-2) minutes and the second one does it in (a^2-2a) minutes.
Can you please help me out? Thanks so much in advance:)
Found 2 solutions by lynnlo, ikleyn:
Answer by lynnlo(4176) About Me  (Show Source):
Answer by ikleyn(53339) About Me  (Show Source):
You can put this solution on YOUR website!
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A machine caps a 1000 bottles in 10 minutes, another machine caps 1000 bottles in 8 minutes.
a) If these machines were together how much time will it take to cap 1000 bottles?
b) if t1 and t2 are the time in the above problem. Determine the time taken by both machines working together?
c) What expression corresponds to the time it takes 2 machines to do a job if the first one does it in (a-2) minutes
and the second one does it in (a^2-2a) minutes.
Can you please help me out? Thanks so much in advance:)
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        In this post,  only question  (a)  is meaningful.
        So,  I will answer only this  ONE  single question. 


First machine caps  1000%2F10 = 100  bottles per minute.


Second machine caps  1000%2F8 = 125 bottles per minute.


Working together, the two machines cap  100 + 125 = 225 bottles per minute.


Working together, the two machines need  1000%2F225 = 4.444... minutes to cap 1000 bottles.


ANSWER to question (a).  Working together, the two machines need  about 4.444 minutes, or 4 minutes 27 seconds, to cap 1000 bottles.

Solved/explained.