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2 men and 7 boys can do a piece of work in 14 days, 3 men and 8 boys can do the same work in 11 days .then 8 men and 6 boys can do three times the amount of this work in how many days?
Most Upvoted Answer
2 men and 7 boys can do a piece of work in 14 days, 3 men and 8 boys c...
Solution:

Let the work to be done be "W".

Let's assume that 1 man does "m" amount of work in 1 day, and 1 boy does "b" amount of work in 1 day.

From the given information, we can form the following equations:

Equation 1: 2m x 14 + 7b x 14 = W

Equation 2: 3m x 11 + 8b x 11 = W

Solving the above two equations, we get:

m = W/154 and b = W/308

Now, we need to find the number of days required for 8 men and 6 boys to do three times the amount of work W.

Let's assume that "d" number of days are required for 8 men and 6 boys to do three times the amount of work W.

From the given information, we can form the following equation:

Equation 3: 8m x d + 6b x d = 3W

Substituting the values of "m" and "b" in Equation 3, we get:

8(W/154) x d + 6(W/308) x d = 3W

Simplifying the above equation, we get:

d = 33

Hence, 8 men and 6 boys can do three times the amount of work W in 33 days.

Answer: 8 men and 6 boys can do three times the amount of work in 33 days.
Community Answer
2 men and 7 boys can do a piece of work in 14 days, 3 men and 8 boys c...
One group two men and 7 boys complete the work in 14 day's .
second group three men and eight boys complete the work in 11 day's .
third group eight men and 6 boys = 6×3 =18
complete the work in 18 days
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2 men and 7 boys can do a piece of work in 14 days, 3 men and 8 boys can do the same work in 11 days .then 8 men and 6 boys can do three times the amount of this work in how many days?
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