Question 1094224
.
<pre>
Let M be the rate of work for a man and B be the rate of work for a boy.
Then from the condition you have this system of equations

2M + 7B = {{{1/14}}},     (eq1)
3M + 8B = {{{1/11}}}.     (eq2)


Solve the system (it is just a technique) and find M and B.


Then evaluate 8M + 6B and calculate reciprocal.
</pre>

For similar problems, see the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Solving-rate-of-work-problem-by-reducing-to-a-system-of-linear-equations.lesson>Solving rate of work problem by reducing to a system of linear equations</A> 

in this site.