I just need to ensure I have the equation correct.
A, B, and C build houses. Each house can be build in the following ways:
i) A and B work together for 6 hours, and C works for 4 hours
ii) A and B work together for 2 hours, and C works for 8 hours
iii) A works alone for 3 hours, B works alone for 1 hour, and Z works together for two hours
with A and B working together I'm confused on how to setup the equation
3x +1y + 2z =1
I don't understand how you have one equation inside another?? Try doing like they show here
(like they showed you back in regular algebra).
hours to complete job alone:
A: a hours
B: b hours
C: c hours
A&B: d hours
done per hour:
A: 1/a of the job
B: 1/b of the job
C: 1/c of the job
A & B: 1/d of the job
i) 6(1/d) + 4(1/c) = 1
ii) 2(1/d) + 8(1/c) = 1
iii) 3(1/a) + 1(1/b) +2(??) = 1
d(1/a + 1/b) = 1
d((b+a)/ab = 1
d = ab/(b+a)
But I can't get any further because your statement of relationship (iii) doesn't make sense. Who is "Z", and who is he working with "together"? Also, "x" is standing for "A", "y" is standing for "B", and "z" is standing for "Z", but what letter are you using for "C"?
Please write back with clarification. Thanks.