ExamVeda
Login
Home

A group of men decided to do a job in 4...

This question belongs to Arithmetic Ability Time And Work
Time and Work
?

A group of men decided to do a job in 4 days. But since 20 men dropped out every day, the job completed at the end of the 7th day. How many men were there at the beginning?

Answer & Solution
Correct Answer: Option B
Let X be the initial number of men then,
According to the question,
4X = X + (X - 20) + (X - 40) + (X - 60) + (X - 80) + (X - 100) + (X - 120)
⇒ 4X = 7X - 420
⇒ 3X = 420
⇒ X = $$\frac{{420}}{3}$$
⇒ X = 140 men
Examveda
Question posted by Examveda
Community

Join the Discussion

1 Comment
Orko Abir
Orko Abir 6 years ago
SUPPOSE initially there was “X” number of people
Total work =4X (since they stipulate they (x people) can complete the work in 4 days )
We know that
N=7 , First term(a)=X , Common difference (d)= -20
Thus
4x = (7/2)*(2x+(7-1)×(-20)) [ using arithmetic progression ]
Solving for X , we will get X=140 person
Keep Learning

Related Questions on Time and Work

If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work?
A. 60 B. 45 C. 40 D. 30
If A and B together can complete a work in 18 days, A and C together in 12 days, and B and C together in 9 days, then B alone can do the work in:
A. 18 days B. 24 days C. 30 days D. 40 days
A and B together can complete a work in 3 days. They start together but after 2 days, B left the work. If the work is completed after two more days, B alone could do the work in
A. 5 days B. 6 days C. 9 days D. 10 days
A can complete a piece of work in 18 days, B in 20 days and C in 30 days, B and C together start the work and forced to leave after 2 days. The time taken by A alone to complete the remaining work is:
A. 10 days B. 12 days C. 15 days D. 16 days
More Related Questions on Time and Work