SOLUTION: A mechanic and his assistant working together can overhaul an engine in 6 days. Working by himself, it would take the assistant 16 days longer than it would take the mechanic to o

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Question 1113536: A mechanic and his assistant working together can overhaul an engine in 6 days. Working by himself, it would take the assistant 16 days longer than it would take the mechanic to overhaul the engine by himself. How many days would it take the mechanic to overhaul the engine working alone?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Rates combined are the sum of the individual rates.

mechanic + assistant = mechanic&assistant


If the mechanic needs x day to do the one job alone,
1%2Fx%2B1%2F%28x%2B16%29=1%2F6
Solve this for x.

Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.
To see many other similar solved problems,  look into the lesson
    - Using quadratic equations to solve word problems on joint work,
in this site.

From this lesson,  learn on how to solve such problems once for all.


Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this textbook under the topic
"Rate of work and joint work problems"  of the section  "Word problems".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.