selim wrote:
John appointed 25 men to complete a small bridge in 40 days. After 20 days he appointed 15 more workers and the bridge was completed 5 days earlier. If he had not appointed the additional workers by how many days he would have been behind the schedule time ?
A)2 days
B)3 days
C)4 days
D)5 days
E)5/2 Days
Given: Originally, the work was to be completed by 25 workers in 40 days. If we assume the total
work a worker does in a day to be 1 units, the total work must be 1000(40*25) units.
In second statement of question stem we are given "After 20 days he appointed 15 more workers
and the bridge was completed 5 days earlier" - Here, we need to know how many workers actually
did the job.
x workers work for 20 days and x+15 work for 15 days to complete the work in 35 days.
\(x*20+ (x+15)15 > 1000\) -> \(35x > 775\) -> \(x > 22\). Minimum workers must be 23
Now, 23 workers complete 23*40 units or 920 units of work in 40 days.
Incomplete work: 80 units | Therefore, it will take 4(Option C) days in order to complete the pending work.
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