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Question
Cory alone can finish typing a manuscript in 10 days, Imelda alone can do it in 15 days. Cory, Imelda,and Ming working together can do the job in 5 days. How long would it take Ming to do the job alone?
Hello Juan
To solve this problem, Juan, first find how much work is done by each individual in one day. And assume the total work to be W.
W ---------------- 10days
? -------------------1day
Cross multiply, Cory completes 0.1W or 1/10 of the total work in one day.
Similarly, Imelda completes 1/15 of the work in one day
What about Ming? We don’t know, but we can solve for it and let’s give it a short code name X, the number of days Ming will take to complete the job alone.
We are told that the trio worked together and completed the work in 5 days how?
We will find out.
W = 5(W/10) + 5(W/15) + 5(W/X)
This means the total work is the sum of the product of the day and the work done in one day.
W = W (5/10 + 5/15 + 5/X) factor W
W is canceled out.
1 = ½ + 1/3 + 5/X
1/6 = 5/X
30 days = X
Ming take needs a month to complete the job alone.
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| Comment | Hi Michael Tadesse. Thanks a lot for the answer. I appreciate it very much. | ||
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Answers by Expert:
Michael Tadesse
Expertise
I can answer questions regarding Relations, linear functions and equations, Squares and square roots, Translation and Similarity, Special Properties of Right Angled Triangles, Measurement of Area and Volume, algebra. I can also answer questions related to Pre calculus, Limits and Continuity, Derivatives Applications of Derivatives, High school math in general. I can’t answer questions of the following type. Power Series, Multiple Integrals, Fourier series, Vector valued Functions.
Experience
I love mathematics as it is the mother of all sciences. I had an outstanding math results while I was in school. The tradition continues while I am in university. I have been helping elementary school Students for the past five years with mathematics problems. In fact, I have a brother who is four years younger than me I usually help him to understand what the crux of the question is before trying to solve it. He loves math very much, he is indeed one of the top scorers form his class in Mathematics. I didn’t stop helping my younger relatives after I joined the Engineering campus and I am more than ready to help anyone with my skill.
Education/Credentials
have a high school diploma with a 3.97 GPA; I also have many merit certificates granted for my outstanding results in high school math. I won a merit certificate for my participation in the Black Month Essay Contest. I took two different National Examinations in 2006 and 2007. In the former Exam I got 9As which includes Mathematics. I also have a score of 90 out of hundred in the later Examination which is the toughest known in Ethiopia. So you don’t have to worry about my ability to help my clients.
Past/Present Clients
I have never had an online client but I was helping students coming to me for assistance in Mathematics.
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