Latest Capgemini Aptitude Question SOLUTION: Q 2. Manu working alone on a job takes 12 days more than what he would have taken if Bhanu had worked along with him while Bhanu working alone on the same job takes 27 days more th

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Q 2. Manu working alone on a job takes 12 days more than what he would have taken if Bhanu had worked along with him while Bhanu working alone on the same job takes 27 days more than what he would have taken if Manu had worked along with him. Find the time that both of them working together would take to do the job.

A. 10

B. 12

C. 16

D. 18

Asked In Capgemini suvradeb kundu (10 years ago)

Unsolved Read Solution (7)

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Read Solution (7) :

Ann Theressa  (10 years ago)

18days
let x be the no of days required if they work together
working alone manu takes (x+12)days and bhanu takes (x+27)days
ie x = (x+12)*(x+27)/(x+12+x+27)
x^2-324=0
x=18

Is this solution Helpfull? Yes (39) | No (5)  

Akash Karira  (9 years ago)

Let manu and bhanu take x days to complete the work together
1 day work=1/x
Manu take (12+x) days to complete the work alone
1 day work=1/(12+x)
Bhanu take (27+x) days to complete the work alone
1/x=1/(12+x)+1/(27+x)
1/x=39+2x/324+39x+x^2
x^2=324
x=18 Ans

Is this solution Helpfull? Yes (16) | No   

Kanchan Goel  (6 years ago)

Direct formula
√ab
√27*12=18

Is this solution Helpfull? Yes (2) | No   

subrata patra  (9 years ago)

ans: D
soln:
let manu and bhanu together take z days to do the work
so one day work of manu and bhanu is 1/m+ 1/b = 1/z---eqn 1
if manu would have worked alone then he would have taken z+12 days
so one day work of manu alone : 1/m = 1/z+12------eqn 2
similarly for bhanu : 1/b = 1/z+27------eqn 3
now sub eqn 2 & eqn 3 in eqn 1 we get-
1/z+12 + 1/z+27 = 1/z ---eqn 4
solving eqn 4 we get z = 18

Is this solution Helpfull? Yes (1) | No   

Mini Dubey  (7 years ago)

This question will be solved by applying formula- sqr root of product of number of days taken by both person when they work alone.
No. of days taken by manu to work alone-12days
No. of days taken by bhanu to work alone-27 days
so, on applying formula we get,
sqr root of (12*27)=sqr root of 324
=18
Therefore,they will take 18 days to complete the work together .

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

Govind patiadr  (9 years ago)

let both required x days together to complete the work..then equate bhanu's work and solve as
Ann did exactly

Is this solution Helpfull? Yes | No (3)  

Amit Tiwari  (7 years ago)

X^2=12*27
=324
X=18

Is this solution Helpfull? Yes | No   

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