SOLUTION: 2 men and 7 boys complete a work in 14 days .3 men and 8 boys complete it in 11 days.then in how many days will 8 men and 6 boys complete the work ?

Question 1094224: 2 men and 7 boys complete a work in 14 days .3 men and 8 boys complete it in 11 days.then in how many days will 8 men and 6 boys complete the work ?

Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!
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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 = ,     (eq1)
3M + 8B = .     (eq2)


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


Then evaluate 8M + 6B and calculate reciprocal.

For similar problems, see the lesson
- Solving rate of work problem by reducing to a system of linear equations
in this site.

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