Latest Elitmus Aptitude Question SOLUTION: a man and a boy can complete a work together in 24 days.if for the last 6 days man alone does the work then it is completed in 26 days.how long the boy will take to complete the wo

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(#M40164066) ELITMUS Numerical Ability question Keep an EYE

a man and a boy can complete a work together in 24 days.if for the last 6 days man alone does the work then it is completed in 26 days.how long the boy will take to complete the work alone

Asked In Elitmus Sniper (7 years ago)

Unsolved Read Solution (4)

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Read Solution (4) :

  (7 years ago)

(1/m +1/b)= 1/24
6 days before 26 days =20 days
so work done in 20 days = 20*(1/24) =5/6
so work left =1/6
1/6 of the work is done by the man in 6 days so time required by the man to complete the work alone
= 1/6 work in 6 days
1 work = 6*6 =36 days
so replacing m by 36
(1/36+1/b) = 1/24
so 1/b =1/72 therefore b = 72 days

Is this solution Helpfull? Yes (13) | No (2)  

rajat bhawsar  (7 years ago)

A boy will take 96 hours for completion of the work

Is this solution Helpfull? Yes (3) | No (5)  

Barna Mahato  (6 years ago)

answer is only 72days.

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Digesh Singh Bisht  (2 years ago)

Work formula= M1*D1 = M2*D2
(man+boy)*24=(man+boy)20 + man*6
24man+24boy=20man+20boy+6man
4boy=2man
Ratio =boy/man=2/4 or 1/2
So,
Total work=(1+2)*24=72
Boy will take=72/1=72 days

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