Fourteen men and twelve boys finish a work in 4 days, while eight men and sixteen boys finish the same work in 5 days. Compare the 1-day work of 1 man with that of 1 boy (expressed as a ratio of man to boy).

Introduction / Context:Two different mixed teams complete the same job in different times. Set up equations in terms of man (m) and boy (b) daily work to solve for the ratio m/b.

Given Data / Assumptions:

• (14m + 12b)*4 = W
• (8m + 16b)*5 = W

Concept / Approach:Equate the two expressions for W, then solve for m in terms of b.

Step-by-Step Solution:

Verification / Alternative check:Substitute m = 2b into either team equation to confirm both give the same total job W.

Why Other Options Are Wrong:Ratios like 1 1/2 or 3 misrepresent the algebraic balance between m and b.

Common Pitfalls:Mixing the total-time equality with rate equality; always equate total work W.

Final Answer:2