Question

10 persons begin to work together on a job but after some days 4 persons leave. As a result the job which could have been completed in 40days is completed in 50days. How many days after the commencement of the work did the 4 persons leave ??

Answer 1

Answer:

25 days

Step-by-step explanation:

10 persons complete work in 40 days, so the volume of work is 10*40=400 person*days

Work is done by 10 persons initially and by 6 persons later on.

Let x be the number of days 10 persons worked and y be the number of days 6 persons worked:

x+y=50 days

10x+6y=400 work

x=50-y

10(50-y)+6y=400

500-10y+6y=400

4y=100

y=25

x=25

So work was progressed by 10 people for 25 days and 4 people left, the rest of work was completed by 6 persons in another 25 days

The answer is 25 days

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