A certain number of workmen can do a piece of work in 25 days, in what time will another set of an equal number of men do a piece of work as great supposing that 2 men of the first set can do as much work in a hour as 3 men in the second set can do in an hour A. 60 days B. 75 days C. 90 days D. 105 days E. None of these

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smart pointer

  • Jan 14th, 2006
 

ans : none of these , 37.5 days

no. of workers = x

set 1 : x persons = 25 days ,So x person in 1 day  = 1/25

so 1 person in 1 day = 1/25x

set 2 : x persons = @ days, so x person in 1 day = 1/@

so 1 person in 1 day = 1/@x

But, (1/25x)2 = (1/@x)3

@ = 37.5 days.

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Amit Bhatia

  • Feb 26th, 2006
 

USE FORMULA

M1*H1*D1*E1/W1 = M2*H2*D2*E2/W2

AS  M1 = M2

D1=25

E2 = E1*2/3

W1 = W1 = 1

NO NEED FOR NO OF HOURS I.E H1 , H2

25*E1 = X*E1*2/3

X= 75/2

(E)

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Munim Al Raihan

  • Oct 24th, 2020
 

Total work=25*6*2*3
Then,set of people in 2nd term
25*6*2*3/6*2=75

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