If 10 men can do a piece of work in 12 days, the time taken by 12 men to do the same piece of work will be:
A. 12 days
B. 10 days
C. 9 days
D. 8 days
Answer: Option B
Solution(By Examveda Team)
Here, we use work equivalence method; 10 × 12 = 12 × x Or, x = 10 days To understand the work equivalence method, we use a graphic as follows: Men Days 10 ↓ 12 12 ↑ x (let) Here, the two arrows, downward (↓) and upward (↑) show variation between men and days. [If downward arrows show decrements then upward arrows show increments and vice-verse.] Thus,$$\eqalign{ & \frac{{10}}{{12}} = \frac{{\text{x}}}{{12}} \cr & {\text{or, x}} = \frac{{10 \times 12}}{{12}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\, = 10\,{\text{days}} \cr} $$
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B. 24 days
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M1*D1 = M2*D2
10*12 = 12*D2
D2 = 120/ 12
D2 = 10