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:
355 comments Page 14 of 36.

RPV said:   1 decade ago
Why in this sum answer is not reciprocated in time and work problem the answer must be in reciprocal? Ex. 8/15 is written as 15/8 am correct.

RPV said:   1 decade ago
Tulsi and Ram can do a job alone in 20 days and 30 days respectively. In how many days the job will be finished if they work together?

Jansi said:   1 decade ago
I understood upto 7/15. I can't understand how they are telling total work 1. From that they were minusing 7/15 can you explain me.

Aravind_appu said:   1 decade ago
A = 1/15.
B = 1/20.

Together TH = A+B.

TH = (1/15+1/20).

TH/4 = (1/15+1/20).

TH = 4((35/15*20)).

TH = 7/15.

= 1-7/15 = 8/15.

ASHLYMOL SAJU said:   1 decade ago
A B A+B.

15 20 4.

Work = Efficiency/Time.

Work = LCM of A B A+B.

W = 60.

A B A+B = 4 3 15.

Total = 7/15.

Remaining = 8/15.

Swetha said:   1 decade ago
@Sri harsha.p

It is not very long process..it is short method only.i explained every steps.,so only it looks like long process.

Sunny guleria said:   2 decades 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.

Shrikant said:   1 decade ago
a/b + c/d.

= a*d/b*d + c*b/b*d.

= ad+cb/b*d.

Maths rule if denominator not equal if equal directly cross multiplication.

Shiva said:   1 decade ago
@Kiran.

(1/15+1/20) = (20+15)/300 //This get by cross multiplication.

= 35/300.

= 7/60.

I think your doubt is clear now.

Appu said:   2 decades ago
@Deepa

(1/50+1/20) = (20+15)/300 //This get by cross multiplication.

= 35/300

= 7/60.

I think your doubt is clear now.
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