SOLUTION: Eduardo takes 3 hours longer to complete a job than Bill. If they can complete the job together in 4 hours, find how long it takes each person to complete the job alone.

Question 928256: Eduardo takes 3 hours longer to complete a job than Bill. If they can complete the job together in 4 hours, find how long it takes each person to complete the job alone.

Found 2 solutions by TimothyLamb, MathTherapy:
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
r = w/t
---
x = ed rate
y = bill rate
t = bill time per job
---
individual rates:
y = 1/t
x = 1/(t + 3)
---
together rate:
x + y = 1/4
1/(t + 3) + 1/t = 1/4
t/t(t + 3) + (t + 3)/t(t + 3) = 1/4
t + (t + 3) = (1/4)t(t + 3)
2t + 3 = (1/4)tt + (3/4)t
(1/4)tt + (3/4)t - 2t - 3 = 0
(1/4)tt + (3/4)t - (6/4)t - 3 = 0
(1/4)tt - (3/4)t - 3 = 0
0.25tt - 0.75t - 3 = 0
---
the above quadratic equation is in standard form, with a=0.25, b=-0.75 and c=-3
---
to solve the quadratic equation, by using the quadratic formula, copy and paste this:
0.25 -0.75 -3
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
---
the quadratic has two real roots at:
---
t = 5.27491722
t = -2.27491722
---
the negative root doesn't fit the problem statement, so use the positive root:
---
answer:
bill time per job = 5.3 hours
ed time per job = 8.3 hours
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!

Eduardo takes 3 hours longer to complete a job than Bill. If they can complete the job together in 4 hours, find how long it takes each person to complete the job alone.

Time Bill takes to complete job:
Time Eduardo takes to complete job:
You can do the check!!
===================
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