Frequently Asked Questions...
126. It would take one machine 4 hours to complete a large production order and another machine 3 hours to co?
126. It would take one machine 4 hours to complete a large production order and another machine 3 hours to completethe same order.
how many hours would it take both machines, working simultanously at their respective constant rates, To complete the order?
answer is 1 and 5/7 hours.
Please help me break this down step by step?
thank you
Answer:
The first machine completes 1/4 of the job per hour.
The second machine completes 1/3 of the job per hour.
Together they complete 1/4 + 1/3 of the job per hour.
1/4 + 1/3
= 3/12 + 4/12
= 7/12
If they complete 7/12 of the job per hour, then it will take them 12/7 hours to complete 1 job.
Inverting you get the number of hours.
12/7 = 1 5/7
Once you know the method, you can use the shortcut. If one machine takes A hours and the second takes B hours, together they will take:
. AB
---------
A + B
A = 3
B = 3
= (3 * 4) / (3 + 4)
= 12/7
= 1 5/7 hours
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