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A person employed a group of 20 men for a construction job. These 20 men working 8 hours a day can complete the job in 28 days. The work started on time but after 18 days, it was observed that two thirds of the work was still pending. To avoid penalty and complete the work on time, the employer had to employ more men and also increase the working hours to 9 hours a day. Find the additional number of men employed if the efficiency of all men is same.

 
I believe the question should be wrong, since the question states that 20 men working 8 hours a day can complete full job in 28 days. But after 18 days they did only 1/3, therefore the questions statement is contradicting. But on multiple sites, this is a valid question, i want to ask what is wrong with my judgement of the question. Thanks.

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