Aptitude - Time and Work - Discussion

@nayana
A can complete the work in 23 days.
A's 1 day work is 1/23
in similar manner
B can complete the work in 299/10 days
then B's 1 day work is 10/299
now they considered (A+B) 1 days work
therefore,(1/23)+(10/229)=1/13

In the problem while adding A+B why they have written 10/299 instead of writting 299/10 ?

Say B does a piece of work in 100 days.
Then as A is 30% more efficient has to complete the work in

100-(30/100)*100=70 days

A's 70 days work = B's 100 days work
so A's 1 day work = B's 100/70 days work

Therefore A's 23 days work = B's 2300/70 days Work

Which implies that 1 work is completed by B in 230/7 days

From this total work done by A & B in 1 day = (1/23)+(7/230)
=(10+7)/230
=17/230
So time taken to complete a work = 230/17=13.529 days


LET ME KNOW IF THIS IS WRONG OR EVEN RIGHT.

Why we consider 10:13::23:x ?

It is given that A is 30% efficient than B,it means that A can do better WORK than B, so the time time taken by A will obviously be less than by B.

So, their ratio of times taken by A and B will get reversed. (As from the problem).The ratio of A and B work is 130:100, but the time taken by them to complete will get reversed that is 100:130.

Thank you!
CORRECT ME IF I AM WRONG PLEASE!

I think it is 100:30 ans is wrong please explain how it is 100:130?

How 100:130 comes?

Why we consider 10:13::23:x?

A is 1 days's work is 1/23 which is given in the sum and B's 1 day's work we got. Add both then we get the result