Four persons, each of whom works at the same rate, were to complete a job according to a schedule. However, because of a argument, two of the 4 quit after working for 1 day. The remaining persons finished the job, but it required 2 more days than what had originally been scheduled. How many days were originally scheduled for completion of the job?

Ashifur August 8, 2023 - 14:29

Problem: Four persons, each of whom works at the same rate, were to complete a job according to a schedule. However, because of a argument, two of the 4 quit after working for 1 day. The remaining persons finished the job, but it required 2 more days than what had originally been scheduled. How many days were originally scheduled for completion of the job?

View all: DUTCH BANGLA BANK | PROBETIONARY OFFICER | WRITTEN MATH SOLVE | 2003

Correct Answer: 4 days

Explanation:

Let, the total time = x days
4 person 1 day work = $\frac{1}{x}$ portion
The remaining work = (1 – $\frac{1}{x}$) = $\frac{x-1}{x}$Portion
Again, 4 persons 1 day work =$\frac{1}{x}$ portion
2 persons 1 day work = $\frac{1 . 2}{x . 4}$ Portion
2 persons (x+2) day work = $\frac{x+2}{2x}$ Portion

According to question , $\frac{x-1}{x}$ = $\frac{x+2}{2x}$

2x-2=x+2
x=4

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