Question

If 40 men can finish a piece of work in 26 days, how many men will be required to finish it in 20 days?
(a) 52
(b) 31
(c) 13
(d) 65

Answer 1

Hint: In order to this question, to calculate how many men will be required to finish the work in 20 days, we will first calculate in how many days, 1 man can complete the work and then we can easily calculate the number of men will be required to finish the same work in 20 days.

Complete step-by-step solution:
40 men can complete a piece of work in = 26 days
Therefore,
1 man can complete the same work in = 40 \[ \times \] 26 days = 1040 days
Now,
Number of men required to finish the same give work in 20 days = \[\dfrac{{1040}}{{20}}\] = \[\dfrac{{104}}{2}\] = 52
Therefore, the number of men required to finish the piece of work in 20 days is 52.
Hence, option (a) is the correct answer.

Note: The fundamental principle of Time and Work is the same as it is in all Arithmetic subjects, namely, proportionality. When the amount of work performed remains constant, efficiency is inversely proportional to the time taken.