three meat mincing machines

Tutoring | Bookmark Us | FREE to Join! New User? Sign Up | Sign In | Help

Students Ask Questions--Tutors Answer
TutorAnswer.com

ask.

answer.

discover.

My Profile

Home > Math & Algebra > Open Questions

Open Questions

three meat mincing machines

A butcher has three mincing machines, A, B, C, and a box of meat.
Machines B + C can mince the meat in 36 minutes,
Machines A + C can mince the meat in 60 minutes, and
Machines A + B can mince the meat in 30 minutes.
If all three machines work together, what will be the required time?

Posted 212 day ago

Report Abuse

Find Interesting

Email to Friends

Bookmark

Subscribe to Answer Alert

Answers (6)

matherapist

The problem is not difficult given either set of numbers if you change minutes to hours. No calculator required. fractions are a part of life.

Posted 211 day ago

( 0 )

Report Abuse

math_fanatic says she didn't like fractional answer?
I changed the numbers to get a whole number of 30 minutes for the following revised problem:
Machines B+C does the job in 45 minutes
Machines A+C does the job in 60 minutes
Machines A+B does the job in 36 minutes
All machines together will do the job in 30 minutes. It will be a good exercise to find this answer.
The initial problem slightly revised was taken from the book :
PROBLEM SOLVING THROUGH RECREATIONAL MATHEMATICS, which gave the answer without solving it.. Same answer as math_fanatic found. I revised the numbers to get a whole number of 30 minutes as its answer. If need be, I will put the solution here some other time. It is easy and short solution. rajbaba78.

Posted 211 day ago

( 0 )

Report Abuse

matherapist

Raj,

This is very similar to a problem you submitted on 12/13/2009 (3 workers A,B, and C), so why repeat it?
You know how to solve it, Math-fanatic and I know how to solve it (It's a standard work problem that needs to be set up properly 1/B+1/C=1/.6hr =5/3 etc) get 3 eqns, add, divide by 2 and you are done.

However, I'm curious how the appropriate amount of meat would be fed to the 3 grinders. The problem would be more interesting if you asked How many units (lbs,Kg) of meat per machine to make N units of ground meat with all grinders working the same amount of time. I'm too lazy to formulate this.

You have stated why you do this. If you want to help students, then supply the answer. If it's an exercise for tutors, state that in the problem. It might keep Dr Bob from thinking everyone is cheating and lazy.

Posted 211 day ago

( 0 )

Report Abuse

I don't know what Dr. Bob means, and I don't see details of calculations done by nath_fanatic on three mincing machines.

Posted 211 day ago

( 0 )

Report Abuse

Doctor Bob

Raj,
When I ask for help on AOL or when I ask my doctor for advice or when I ask my lawyer for suggestions, all of them ask me: "Bob,what have you tried so far?"
I think they ask me that question to be sure that I am partnering with them in a solution.
And so, rather than spoon-feed you the answer at this time, I ask you: "Raj, what have you tried so far?"

Posted 211 day ago

( 0 )

Report Abuse

math_fanatic

Annoying problem. The answer is 25 and 5/7 minutes. If you're gonna make up a problem at least
make it so the numbers come out evenly.

Posted 211 day ago

( 0 )

Report Abuse

Other Open Questions in Math & Algebra

» ABSOLUTE VALUE INEQUALITIES

» How does the square of numbers relate to the product of numbers?

» What number contains an integral factor whose sum of two numbers are identical?

» Using the Commutative rule of algebra, write a formula that generalizes the product of numbers

» How to generalize from the product of numbers?

Edit your answer. Click save, when done.
Question Title	three meat mincing machines
Your Answer	Character Count ( Max. - 5000 ) : 296