Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Time and Work

Question:

Some staff promised to do a job in 18 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?

Options:

55

62

56

60

Correct Answer:

60

Explanation:

Let there were originally x men.

Total work = efficiency × number of days

Total work  = 18 × x = 18x

6 went on leave . So leftover men does the work in 20 days 

total work by them = 20(x - 6)

As per questions,

18x = 20(x - 6)

18x = 20x - 120

 18x - 20x = -120

-2x = -120

 x = 60  is number of men