Krugen K.

asked • 11/11/21

Complicated Work time math help.

A and B working together for 9 hours work in x days. B and C can get the job done in half the time A and B could in the same no of days. C and D working 8 hours takes 15 days longer than A and B to get the job done. C gets fired. If A, B and D work together starting from 10:00 AM to 4:30 PM, 6 days a week, with one day holiday, how many days will it take for them to complete the work?

Mark M.

The first sentence does not make sense. Review for accuracy.
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11/11/21

Mark M.

Also: C and D working 8 hours takes 15 days longer than A and B to get the job done. How can 8 hours be 15 days longer?
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11/12/21

Krugen K.

8 hours per day.
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11/12/21

Krugen K.

I understand its too difficult for people.
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11/12/21

Vitaliy V.

tutor
There are 5 unknown values (A,B,C,D, and x) and only 3 conditions (1st, 2nd and 3rd sentences). Also, it is confusing that by the 2nd sentence C is better worker than A or B. Why did C get fired?
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11/13/21

Krugen K.

You are asking why C is fired, which isnt even necessary for "maths"? Could be many reasons efficient workers get fired, maybe organizational misconduct issues or something. I understand its a very hard math and nobody has been able to help me with it thus far.
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11/21/21

Laura B.

Hello Krugen, What a curious problem! Did you ever get a satisfactory answer to it from the person who posed it to you or are you still working on it? What level of math was this for? If you are in a standard algebra course at high school or similar at the college level but still don't have an answer, could you double check the first part of the problem? If a value was accidentally omitted when writing down the problem for us, that might be the source of the confusion. Otherwise, it does seem on first read that there is not enough information to actually solve. In which case, that result--not enough information to solve--might be the answer the teacher is looking for.
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11/22/21

1 Expert Answer

By:

Wendy D. answered • 06/09/22

Tutor
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Math, Arithmetic, Writing, Editing, SAT/ACT Prep
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I'm still working on this, but I would set up a table of sorts to organize the data.


TEAM NUMBER OF HOURS TO COMPLETE JOB

A & B 9x

B & C 4.5x

C & D 24x


You want to find out the total number of hours that it would take A, B, & D to complete the job. Then, you would figure out how long that would be given their work schedule as specified.


One problem that I see is that you don't know whether each person in the team works equally hard. Is that assumed?

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