Latest Elitmus Aptitude Question SOLUTION: 100 men started working to complete a work in 50 days.After working 8hours/day they had completed 1/3rd of the work in 25 days.How many men should be hired so that they will finis

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(#M40155425) ELITMUS Numerical Ability question Time and work Keep an EYE

100 men started working to complete a work in 50 days.After working 8hours/day they had completed 1/3rd of the work in 25 days.How many men should be hired so that they will finish the work in time by working 10 hours/day.

7th feb Elitmus.

Asked In Elitmus Sourav (8 years ago)

Unsolved Read Solution (13)

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Read Solution (13) :

Shashank  (8 years ago)

Use M*D* H /W = m*d*h/w
(100*25*8)/(1/3)=(x*25*10)/(2/3)
x=160
160-100=60 more men

Is this solution Helpfull? Yes (45) | No   

Devendra Marghade  (8 years ago)

60 men

Working 8 hours/day, in 25 days, 100 men completes 8*25*100= 20000 men hours which is 1/3 of the work, So remaining 2/3 work to be completed =20000*(2/3)/(1/3)=40000 men hours.
If with 'x' extra men hired ,remaining work is to be completed in 50-25=25 days , working 10 hours/day, then, (100+x)*25*10=40000, 25000+250x=40000, x=60

Is this solution Helpfull? Yes (31) | No   

Ramgopal  (8 years ago)

according to the question 1/3rd work is already done in 25 days.
remaining 2/3rd work should done in 25 days.
100 men ----1/3rd ---25day
x men ---- 2/3rd----25days
here x=200, because work is doubled, Men should be doubled.
now we require 200 men works 8hrs a day to complete the work
but they decided to work 10hrs a day
200 men ---8hrs
x men -----10hrs
here x=160
so 60 men should be hired to complete the work.

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sugandha  (8 years ago)

Men*Days*work*hours=Men'*Days'*hours*works* ;100*25*1/3*8=Men'*25*2/3*10 ;Solving above equation we get Men' required =60 Ans

Is this solution Helpfull? Yes (3) | No (7)  

vinay  (8 years ago)

ans =160
percentage work done in 25 day=100/3
% work complete in per day=100/3*1/25
% work done in per hour =100/3*1/25*1/8
% work done by one man in per one day per hour r=100/3*1/25*1/8*1/100
so r is the rate work done in percentage in per day per hour by one man
let n be the no of man for remaining work and they work 10 hour per day for complete work % 200/3 in 25 day
so, (100/3)*(1/25)*(1/100)*(1/8)*10*25*n=200/3

n=160

Is this solution Helpfull? Yes (1) | No (3)  

ANURAG DADWAL  (8 years ago)

100 more men

Is this solution Helpfull? Yes (1) | No (8)  

pankaj upadhyay  (8 years ago)

125 men
200*100*1/3=80*x*2/3

Is this solution Helpfull? Yes | No (6)  

Vikash kumar  (7 years ago)

correct answer =60

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Vikash kumar  (7 years ago)

correct answer =60

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Vikash kumar  (7 years ago)

correct answer =60

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shikhar singh  (7 years ago)

100 men will work for 25 days, 8 hours daily. So from Men hour days formula
(Men1*hour1*days)/work=(men2*days2*hour2)/remaining work
Distribute the value .
(100*25*8)/(50000/3)=(x*25*10)/(50000*2/3)

Ans will be 60 men.

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rahul  (6 years ago)

100*8*25=(100+x)*2*20*10

x=60.

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swati  (6 years ago)

let total work=1
100 men work 8hr x 25 days complete=1/3 work
1 men work 1hr x 1 day complete=1/(3x100x8x25) work.......(1)
work left=1-1/3=>2/3
A/q
(100+y) men work 10hr x 25 days complete=2/3 work
1 men work 1 hr x 1 day complete=2/(3 x (100+y) x 10 x 25) work.....(2)
equating (1) and (2), we get
100+y=2*8*10
y=60 more men

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