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 3 of 6.

Bharathi said:   8 years ago
It's easy to understand. Thanks @Kuntal.

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

Swapna said:   8 years ago
7+4=11......28 ,7....? 11/7*28 = 44 ans.

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?

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

Prabhu said:   8 years ago
Nice explanation @Jimmy John.

Varun said:   1 decade ago
Ratio type problem solve by 'x' value.

Nidhi said:   1 decade ago
A and B collectively can do the work in 7 days.

So their one day work is 1/7.

A+B=1/7-- (1).

A is 7/4 times efficient then B which means.

A= (7/4) B.

Or.

B= (4/7) A - (2).

Put the value of (2) in (1).

(4/7) *B+B=1/7.

B=1/11 THIS IS HIS ONE DAY WORK.

ALONE B CAN FINISH IN 11 DAY.

UMESH PRASAD said:   1 decade ago
A and B collectively can do the work in 7 days
so their one day work is 1/7
A+B=1/7-------(1)
A is 7/4 times efficient then B which means

A=(7/4)B ----------
or
B=(4/7)A ------------(2)
put the value of (2)in (1)
(4/7)*B+B=1/7

B=1/11 THIS IS HIS ONE DAY WORK
ALONE B CAN FINISH IN 11 DAY

Pankaj said:   1 decade ago
How Total Working Days=7*4=28 ?


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