Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 1)
1.
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

1
4

1
10

7
15

8
15

Answer: Option
Explanation:

A's 1 day's work = 1 ;
15

B's 1 day's work = 1 ;
20

(A + B)'s 1 day's work = ( 1 + 1 ) = 7 .
15 20 60

(A + B)'s 4 day's work = ( 7 x 4 ) = 7 .
60 15

Therefore, Remaining work = ( 1 - 7 ) = 8 .
15 15

Discussion:
344 comments Page 32 of 35.

Ni333 said:   1 decade ago
Thanks analyser.

Honeymayee said:   1 decade ago
Power of a=p1=w/15
Power of b=p2=w/20
Work is same so p1*15=p2*20
p1/p2=4/3

Now I do not know how to proceed. ?

Mani said:   1 decade ago
Still i have confusion. How 7/60 comes?

Sak said:   1 decade ago
1/15 * 4/4 = 4/60 ok.
1/20 * 3/3 = 3/60 ok.

How do we get 4/4 and 3/3 ? Please explain.

Depl said:   1 decade ago
Oh! Thanks I understood well.

Crompton said:   1 decade ago
Because we know that total work = 1 so we subtract with one.

Suba said:   1 decade ago
Why we subtract with one? can you please explain.

Vikas said:   1 decade ago
Thanks for your explanation. But it take much time. Can you tell me tricks.

Anshuman said:   1 decade ago
Oh! Thanks I understood well.

Latha said:   1 decade ago
Why the rest part is only 1-7/15 ?


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