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 14 of 35.

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:   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.

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:   1 decade 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.
(1)

SR Ranees said:   5 years ago
Explination for (1/15 + 1/20) = 7/60,

take LCM of 15 and 20.
LCM will be 60,
= (1*4/15*4) + (1*3/20*3),
= (4+3)/60,
= 7/60.

Vaibhav said:   1 decade ago
Why 1-7/15?

The total no. of work is 1 do 1-7/15.

If there are 2 works then 2-7/15.

If 3 works then 3-7/15.

And so on.

Ashish said:   1 decade ago
@Esha.

It's not 7/20 its 7/60 and that came after addition of
Both work A and B
A+B= 1/15+1/20=20+15/15*20=35/300=7/60.

Kali said:   1 decade ago
1/15 = 4/60.
1/20 = 3/60.

Simply add 4+3 = 7.
And copy the denominator 60.

LCD:
15 = 5x3.
20 = 5x4.

LCD = 5x3x4 = 60.

Argan Defar said:   9 years ago
For the Question of @Raju,

(A + B)'s completion days = (A * B/(A + B)),

=> 15 * 20/(20 + 15),

=> 300/35 = 8.6 days.


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