A work could be completed in 100 days by some workers. However, due to the absence of 10 workers, it was completed in 110 days. The original number of workers was ?
A. 100
B. 110
C. 55
D. 50
Answer: Option B
Solution(By Examveda Team)
Let total number of worker in beginning is N$$\eqalign{ & {\text{According to the question,}} \cr & \frac{{{\text{N}} \times {{100}_{{\text{days}}}}}}{{{1_{{\text{work}}}}}} = \frac{{\left( {{\text{N}} - 10} \right) \times {{110}_{{\text{days}}}}}}{{{1_{{\text{work}}}}}} \cr & 100{\text{N}} = {\text{110N}} - {\text{1100}} \cr & \Rightarrow {\text{10N}} = {\text{1100}} \cr & \Rightarrow {\text{N}} = {\text{110}} \cr} $$
Related Questions on Time and Work
A. 18 days
B. 24 days
C. 30 days
D. 40 days
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