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Quantitative Aptitude

Time & Work

A person can ...

Question

A person can complete a job 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days. On Day 3, they are joined by another person of equal efficiency Like this, everyday a new person with the same efficiency joins the work. How many days are required to complete the job?___

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Solution

Days required to complete the job =
$\frac{n (n + 1)}{2} = 120 \Rightarrow n = 15 d a y s$

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Days required to complete the job = n(n+1)2=120⇒n=15 days

Days required to complete the job =
$\frac{n (n + 1)}{2} = 120 \Rightarrow n = 15 d a y s$