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 6 of 6.

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

Kirshna said:   1 decade ago
How get a:b :: 7/4:1 ?

Akhilesh singh(Gwalior) said:   1 decade ago
(a+b)'s one day work=1/7

and a:b::7/4:1
so a/b=7/4
so b=4a/7

substituting the value to above eq'n
(a+4a/7)=1/7
11a/7=1/7
a=1/11 answer.


Post your comments here:

Your comments will be displayed after verification.