The ill Worker
A worker is given a job, but as he was going to start the job he got ill due to flu. If he might not have been got ill, he could have done the job in 50 days. His health conditions are going worse constantly and his work per unit time capacity is decreasing constantly (linearly) with respect to the amount of work done and at the end of work he has half the work per unit time capacity left as compared to that of at the time of starting of work. Find out the time taken by worker (in days) to complete the job. Give your answer in nearest integer.