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 34 of 35.

Lottie said:   1 decade ago
I was thinking 1-7/15 will be 6/15. So how did you get 8/15. Thanx.

Malli said:   1 decade ago
@Prkash.

Superb explaination.

Well wisher said:   1 decade ago
@Poorni:

Why 1-(7/15)?

We consider the total work as 1.

The amount of (work done) is 7/15.

Subtract the total work by the work done we will get the amount of work to be done

That is why we use 1-(7/15).

Hope this help you.

Vishwanath said:   1 decade ago
7/60 x4 =7/15 please explain me

PRAKASH said:   1 decade ago
For A:-
15 days for 1 job
in 1 day 1/15 (part of the one job)
for B:-
20 days for 1 job
in 1 day 1/20 (part of the one job)
FOR BOTH IN ONE DAY:-
1/15+1/20=7/60
FOR BOTH IN 4 DAYS:-
(7/60)*4=7/15(THEY HAVE DONE)
THE REST PART OF THE JOB IS:-
1-(7/15)=8/15 (ANS)
(1)

Sunny guleria said:   1 decade ago
We have to calculate the remaining work after 4 dayz ,so why we subtract 1 dayz work from 4 day work? plz clear the question.

Pravin Hambire said:   1 decade ago
Can you explain how 7/60 came?

Mohideen said:   1 decade ago
@sundar.

Good explanation.

Sundar said:   1 decade ago
@Beer Ibrahim

Q: Why (1-7/15) is applied ?

Ans: To calculate the work remaining. Work remaining = 8/15.

Note: From the above answer, we can say 15/8 days required to
complete the remaining work by A and B.

Hope this will help you. Have nice day!
(1)

Beer ibrahim said:   1 decade ago
Why (1-7/15) is applied ?
(1)


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