10 persons begin to work together on a job, but after some days, 4 per

1.	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 40 days, was completed in 50 days. How many days after commencement of the work did the four persons leave?1. 252. 243. 304. 20
Answer» Correct Answer - Option 1 : 25 Given: Number of persons = 4 Initial time to complete the work = 40 days Final time to complete the work = 50 days Formula used: Total work done = Number of persons × Time taken Calculation: Total work = 10 × 40 = 400 units Let 4 persons leave after x days So, remaining persons will complete the work in (50 – x) days Total work = (10 × x) + 6(50 – x) = 10x + 300 – 6x = 4x + 300 Now, according to question, 400 = 4x + 300 ⇒ 4x = 100 ⇒ x = 25 ∴ The four persons will leave after 25 days

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 40 days, was completed in 50 days. How many days after commencement of the work did the four persons leave?1. 252. 243. 304. 20

Answer» Correct Answer - Option 1 : 25

Given:

Number of persons = 4

Initial time to complete the work = 40 days

Final time to complete the work = 50 days

Formula used:

Total work done = Number of persons × Time taken

Calculation:

Total work = 10 × 40 = 400 units

Let 4 persons leave after x days

So, remaining persons will complete the work in (50 – x) days

Total work = (10 × x) + 6(50 – x)

= 10x + 300 – 6x

= 4x + 300

Now, according to question,

400 = 4x + 300

⇒ 4x = 100

⇒ x = 25

∴ The four persons will leave after 25 days

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