If the work done by (x - 1) men in (x + 1) days and the work done by (x + 2) men in (x - 1) days are in the ratio 9 : 10, then the value of x is equal to ?
A. 5
B. 6
C. 7
D. 8
Answer: Option D
Solution(By Examveda Team)
Put values in formula$$\frac{{{{\left( {x - 1} \right)}_{{\text{men}}}} \times {{\left( {x + 1} \right)}_{{\text{days}}}}}}{{{{\text{9}}_{{\text{work}}}}}} = $$ $$\frac{{{{\left( {x + 2} \right)}_{{\text{men}}}} \times {{\left( {x - 1} \right)}_{{\text{days}}}}}}{{{{10}_{{\text{work}}}}}}$$
$$\eqalign{ & \Rightarrow \frac{{x + 1}}{9} = \frac{{x + 2}}{{10}} \cr & \Rightarrow 10x + 10 = 9x + 18 \cr & \Rightarrow x = 8 \cr} $$
Related Questions on Time and Work
A. 18 days
B. 24 days
C. 30 days
D. 40 days
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