Latest Capgemini Aptitude Question SOLUTION: if A alone does the work in 15 days,how much time will A and B take working together to complete the job,given that A is 30% more efficient than B?

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if A alone does the work in 15 days,how much time will A and B take working together to complete the job,given that A is 30% more efficient than B?

Asked In Capgemini Anjan (8 years ago)

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ALOK DEV DARSAN SAHU  (8 years ago)

ratio of times taken by A and B is=100:130
suppose B takes x days to do the work.
100:130::15:x
x=130*15/100=39/2.
B's 1 day's work=2/39
A's 1 day's work=1/15
(A+B)'s 1 day's work=69/585
A & B together can complete the work in 585/69 days..

Is this solution Helpfull? Yes (25) | No (27)  

Nilavo Chakraborty  (8 years ago)

efficiency ratio of A:B=13:10
time ratio of A:B=10:13
so,10:13=15:x
so,x=39/2
so,time taken by A=15(given)
time taken by B=39/2(calculated)
efficiency 1/15:2/39=13:10 [taking LCM(15,23)=195 which is total work]
Now,(A+B) does 23 unit in 1 day
195 unit in 195/23 days(ans)

Is this solution Helpfull? Yes (23) | No (1)  

soumya rout  (8 years ago)

A's 1 day work=1/15
A is 30% more efficient than b
So B's 1 day work= 1/15-(30/100*1/15)
=7/150
S0 A+B 's 1 day work=1/15+7/150=17/150
so they will take 150/17 days .

Is this solution Helpfull? Yes (11) | No (8)  

Kammari Praveena  (7 years ago)

time taken by a and b = 100:130 :: 15:x
ad = bc
x=( 130*15)/100
x= 39/2
A's 1 day work = 1/15
B's 1 day work = 2/39
total = (1/15)+(2/39) = 23/ 195
ans is 195/23

Is this solution Helpfull? Yes (10) | No (1)  

Vikas Arya  (7 years ago)

I think all the solutions provided are a mistake.

Let Time taken by B is x days.

since A is 30% more efficient than B

i.e.,if B takes 10 days then A sud take 7 days.

Then, x+(30/100)x=15

x=150/13.

(A+B) combined 1 day's work=(1/15 + 13/150)=23/150

Hence (A+B) can finish together in 150/23 days.

Is this solution Helpfull? Yes (8) | No (6)  

samuel  (7 years ago)

efficency ratio=130:100
since efficency inversely proportion to time
Ratio of times taken by A and B = 100 : 130 = 10 : 13.
Suppose B takes x days to do the work.
Then, 10 : 13 :: 15 : x => x = (15 x 13)/10 => x =39/2
A's 1 day's work = 1/15;
B's 1 day's work = 2/39 .
(A + B)'s 1 day's work=1/15+2/39=23/195
Therefore, A and B together can complete the work in 195/23 days.

Is this solution Helpfull? Yes (5) | No (2)  

E Chiranjeevi  (7 years ago)

let B=100;
A 30 % more than B so A=300;
A can do work in 15 days
B---------------?
100--------------?------B
130--------------15----A
100:130=?:15
B=150/13
A one day work 1/15
B one day work 150/13
A+B=1/15+13/150=23/150

Is this solution Helpfull? Yes (1) | No (2)  

AUGUST  (5 years ago)

585/65suppose B takes x days to do the work.
100:130::15:x
x=130*15/100=39/2.
B's 1 day's work=2/39
A's 1 day's work=1/15
(A+B)'s 1 day's work=69/585
A & B together can complete the work in 585/69 days.

Is this solution Helpfull? Yes (1) | No   

shalini kumari  (8 years ago)

efficiency ratio of A:B=13:10
time ratio of A:B=10:13
so,10:13=15:x
so,x=39/2
so,time taken by A=15(given)
time taken by B=39/2(calculated)
(A+B)'S 1 day work =(1/15 +2/39) =6/65
=> 1 complete work done by (A+B)= 65/6 days

Is this solution Helpfull? Yes | No (4)  

sowmya  (7 years ago)

ratio of times == 130:100
if b takes x days
130:100 :: 15 :x
13x=150
x =150/13
=> b takes 150/13 dayz
a +b = 1/15 + 13/150 = 23/150 =>15/23 days

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vinay kumar  (7 years ago)

@shalini kumari u made a mistake in finding LCM of 39 and 15

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pravin  (7 years ago)

ans= 195/23 days

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Rutvik Shete  (7 years ago)

195/23 is right

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adrsh rai  (6 years ago)

AS A IS 30% EFFICIENT THEN RATIO OF A: B IS:-
100:130 ~10:13

A ALONE DOES IN 15 DAYS THEN TOTAL WORK WILL BE:-
15*10=150 UNIT

HENCE A AND B TOGETHER WILL DO IN :-
150/10+23 =195/23 ~ 9 DAYS

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Yugandhara Tulashidas Paranjape  (6 years ago)

A=15days
A+B=?
consider
B =100work in 1day
then A=130 in 1day
so,
A+B=230 in 1day
A=130*15 in 15days
A+B= 130*15/230= 9days

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