Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 29)
29.
A and B can do a job together in 7 days. A is 13/4 times as efficient as B. The same job can be done by A alone in :

9 1 days
3

11 days

12 1 days
4

16 1 days
3

Answer: Option
Explanation:

(A's 1 day's work) : (B's 1 day's work) = 7 : 1   =   7 : 4.
4

Let A's and B's 1 day's work be 7x and 4x respectively.

Then, 7x + 4x = 1     =>     11x = 1     =>     x = 1 .
7 7 77

Therefore A's 1 day's work = ( 1 x 7 ) = 1 .
77 11

Discussion:
53 comments Page 4 of 6.

Juhi said:   9 years ago
If 4/7 of a piece of work is completed in 7/4 days, in how many days can rest of the work be completed?

M.vignesh said:   1 decade ago
A=7/4
B=1
A:B=7/4:1
So A:b=7:4
Total Working Days=7*4=28
a=28/7=4
b=28/4=7
a=a+b
a=4+7=11
A alone=11

Divya said:   1 decade ago
Because a is 7/4 times efficient than b => a= 7/4b

a:b= 7/4b:b (b's get cancelled.)

=> 7/4:1

Kriti said:   9 years ago
Guys I am not getting the concept of equation 1 and 2 please any one explain me in detail, please.

Padma said:   8 years ago
Why have they taken efficiency as such without converting it to number of days?

Yashwanth said:   8 years ago
What will be the answer for same problem with A is twice the efficiency of B?

Iovd said:   1 decade ago
@Raj.

They given 1*3/4 in example after solving it we get 7/4(4*1+3).

Adithya vinay kumar said:   9 years ago
How come efficiency is directly proportional to the no of days worked?

Heena said:   1 decade ago
@nidhi
if A=(7/4)B
then Eq2 should be
7/4(B)+B=1/7

Siri said:   9 years ago
How you are getting 7/4? Anybody explain it please.


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