Some staff promised to do a job in 15 days but 6 of them went on leave. So the remaining men took 20 days to complete the job. How many men were there originally?
Answer & explanation
Correct answer: option 2
Let there were originally x men.
Total work = efficiency × number of days
Total work = 15 × x = 15x
6 went on leave . So leftover men does the work in 20 days
total work by them = 20(x - 6)
As per questions,
15x = 20(x - 6)
15x = 20x - 120
15x - 20x = -120
-5x = -120
x = 24 is number of men