Latest bank Aptitude Question SOLUTION: 33 men can do a job in 30 days. Of 44 men startd the job together and after every day of the work one person leaves .what is the minimum number of days required to complete the who

• Placement Papers
• /
• bank
• /
• Numerical Ability
• /
• Time and Work

bank Question Papers:

(#M40165255) BANK Numerical Ability question time and work Keep an EYE

33 men can do a job in 30 days. Of 44 men startd the job together and after every day of the work one person leaves .what is the minimum number of days required to complete the whole work

Asked In bank rahul (6 years ago)

Unsolved Read Solution (1)

Is this Puzzle helpful?   (7)   (3) Submit Your Solution Time and Work

Read Solution (1) :

Devendra Marghade  (6 years ago)

44 days

1 man can complete the work in 33*30=990 days.
As daily 1 person leaves, so the work completed daily is like 44*(1/990) + 43*(1/990) + 42*(1/990)+.....
For complete work we have to find how many terms of the series 44*(1/990) + 43*(1/990) + 42*(1/990)+..... results into sum 1.
=> (1/990)(44+43+42+....) = 1
=> 44+43+42+.... = 990
For an A.P. with sum 990, let number of terms be n, where first term a=44, difference d=-1, then
Sn=(n/2)[2a + (n-1)*-1]
=> 990=(n/2)[2*44 + (n-1)*-1]
Above equation satisfies for n=44, hence number of days required are 44.

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.