154k views
3 votes
Each of A, B and C need a certain unique time to do a certain work. C needs 1 hour less than A to complete the work. Working together, they require 30 minutes to complete 50% of the job. The work also gets completed if A and B start working together and A leaves after 1 hour and B works for a further 3 hours. How much work does C do per hour?

1 Answer

2 votes
Ax=100%
C(x-1)=100%
A+4B=100%
A+B+C=100%

It's a system composed of four unknowns. Eventually you'll come up with this equation: -3A^2+1000A-30000=0; which will lead you to two possible results: A=33,333 or A=300, if you want B to be positive, you'll use A=33,333, then B will be 16,667 and C=50.
User NudeCanalTroll
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories