Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 17)
17.
A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?
11 days
13 days

20 3 days
17

None of these
Answer: Option
Explanation:

Ratio of times taken by A and B = 100 : 130 = 10 : 13.

Suppose B takes x days to do the work.

Then, 10 : 13 :: 23 : x     =>     x = ( 23 x 13 )     =>     x = 299 .
10 10

A's 1 day's work = 1 ;
23

B's 1 day's work = 10 .
299

(A + B)'s 1 day's work = ( 1 + 10 ) = 23 = 1 .
23 299 299 13

Therefore, A and B together can complete the work in 13 days.

Discussion:
119 comments Page 11 of 12.

Thilagavathinagarajan said:   7 years ago
Why we consider 10:13::23:x? Please explain this step.

Sajan said:   8 years ago
Thanks @Nishant. Your answer is understandable.

Sajid said:   1 decade ago
299/10 to convert 10/299 why please explain?

Kalai said:   9 years ago
Why can't we use ratio as A:B -> 70:100?

BIKKU said:   7 years ago
a : B = 13 : 10,
13 * 23 = x * 23.
x = 13.

Manjunatha M S said:   5 years ago
@Prathyusha.

Great, very helpful. Thanks.
(1)

Amit said:   9 years ago
We have to take 130:100? Why not 100:70?

DHARADI said:   6 years ago
B = (10+13/23)12.
B = (23/23)13,
B = 13.

Chandradeepa said:   6 years ago
Why should we consider only 100 and 130?

Umesh said:   1 decade ago
@Rahul.

How in 5 days please explain?


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