Three men and eight machines can finish a job in half the time taken by three machines and eight men to finish the same job. If two machines can finish the job in 13 days, then how many men can finish the job in 13 days?
SNAP QUANT QUESTIONS
Three men and eight machines can finish a job in half the time taken by three machines and eight men to finish the same job. If two machines can finish the job in 13 days, then how many men can finish the job in 13 days?
Answer and Explanation
Let one machine completes 1 unit of work per day.
Given, two machines can finish the job in 13 days
Therefore, the work of 2×1×13 = 26 units.
Also, let on man completes m units of work per day.
From the given condition:
3m+8×1 = 2(8m+3×1)
Or m = 213units213units
Let it require ‘x’ number of men to complete the work in 13 days.
Therefore, xm×13 =26 units
Or x = 13 men
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