Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 9)
9.
A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?
23 days
37 days
371/2
40 days
Answer: Option
Explanation:

Whole work is done by A in ( 20 x 5 ) = 25 days.
4

Now, ( 1 - 4 ) i.e., 1 work is done by A and B in 3 days.
5 5

Whole work will be done by A and B in (3 x 5) = 15 days.

A's 1 day's work = 1 , (A + B)'s 1 day's work = 1 .
25 15

Therefore B's 1 day's work = ( 1 - 1 ) = 4 = 2 .
15 25 150 75

So, B alone would do the work in 75 = 37 1 days.
2 2

Discussion:
164 comments Page 12 of 17.

Rajkanya Saha said:   9 years ago
Too good @Baskar.

Thanks for explaining the answer.

Pratswinz said:   1 decade ago
@Bhaskar your explanation was superb. Carry on dude.
(1)

Shivaram goud said:   1 decade ago
@Snehagoud.

Can you check the what is 80/100 = 5/4?

Joy khwaka said:   2 years ago
Finally, I understood the concept, Thanks @Rajendra.
(4)

Anitha said:   3 years ago
Your explanation is short and good.

Thanks @Ajith.

Kajal said:   3 years ago
@Baskar.

Thank you very much for your explanation.
(2)

Nanny said:   1 decade ago
Thank you bhaskar, you done great job, keep it up.

Asma said:   9 years ago
Can anyone say why we are multiplying 20 with 5/4?

Gowtham said:   8 years ago
80/100 is 4/5 then how you get it as (20*5/4) =25?

Sanjeev pandey said:   1 decade ago
23(1/25) + 3(1/B) = 1 .....(1).

B = 75/2 Days.


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