Latest HR Interview Aptitude Question SOLUTION: A is 20 percent more efficient than B. If the two persons can complete a piece of work in 60 days, in how many days A working alone can complete the work?

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(#M40037773) HR INTERVIEW Logical Reasoning question tcs Keep an EYE

A is 20 percent more efficient than B. If the two persons can complete a piece of work in 60 days, in how many days A working alone can complete the work?

Asked In HR Interview PRIYA (10 years ago)

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Ann Theressa  (10 years ago)

110 days

A is 20% more efficient than B
Ratio of time taken by A to B = 100 : 120 = 5:6

Let the time taken by them working alone be 5x and 6x respectively.
Together they can finish the work in 60 days.

(5x*6x)/(5x+6x) = 60
30x^2/11x = 60
x = 2*11 = 22

A alone can finish the work in = 5x = 110 days

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sunil kumar  (10 years ago)

let A completes his work in x days and B completes in y days

A's one day work = 1/x
B's one day work = 1/y

since A is 20% more efficient than B so

1/x = ((1/y)+(20% of 1/y))
y=1.2x

both can complete the work in 60 days, now we have

(1/x)+(1/y)=(1/60)
=> (1/x) + (1/1.2x) = 1/60
=> x = 110 days

so, A can complete his work in 110days

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Ritu raj  (10 years ago)

96
assume both r equally efficient then each can cmplete the work in 120 days .
but if A is 20% more efficient then A can complete the work in (120-20% of 120)

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SUDHIR SHARMA  (10 years ago)

Let B's 1 day work is x
Then A's 1 day work will be 6x/5

(A+B)'s 1 day work = (A's 1 day work + B's 1 day work) = 1/60
x+6x/5 = 1/60
x= 1/132

Therefore A's 1 day work = 1/110
or A's 110 days work = 1

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venkatesh harugeri  (9 years ago)

hello priya pls cantact me @8088565205 IN WHATSAPP for more discussion abt TCS

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