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When I was hired at Company $A$, I agreed I would work for them three days a week and be sent to work at Company $B$ for the other two working days. Company $A$ would then contribute to my wage for $\frac{3}{5}$, while Company $B$ would account for the remaining $\frac{2}{5}$.

A few months passed and, since life has its bumps, I couldn't precisely follow that plan (due to illnesses and vacations). As of today, I worked $247$ hours at Company $A$ and $184$ hours at Company $B$.

Company $A$ claims this situation is not right and that it must be corrected by making me work for them exclusively, before I can go back to Company $B$. How many extra hours will I have to work at Company $A$ before they're happy, so I can be sent to work at Company $B$ again?

I've made my calculation but I find myself in need of peer review. I hope you'd help me, thanks in advance!

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closed as off-topic by Lost1, TMM, Claude Leibovici, Magdiragdag, mau Jan 29 '14 at 11:46

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Lost1, TMM, Claude Leibovici, Magdiragdag
If this question can be reworded to fit the rules in the help center, please edit the question.

You need to add your calculations in the questions for us to help you. –  Lost1 Jan 29 '14 at 9:36
It's ok, I deliberately left off my calculation as I deemed it not necessary. @deepakm was able to provide the answer I was looking for, as it matched my own calculation. –  user3145982 Jan 29 '14 at 14:29

1 Answer 1

up vote 1 down vote accepted

You need to work for Company A for 3/5 part of the time and Company B for 2/5 part of the time .

Hence, total work to be done for Company A = (3/5)/(2/5) = 3/2 = 1.5 times for Company B

You have worked 184 hours for Company B.

Hence, you need to work 1.5 * 184 = 276 hours for Company A.

Subtracting hours already done for A, you need to work for 276 - 247 = 29 more hours at Company before working further for B.

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