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 15 of 36.

SR Ranees said:   6 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:   10 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.

Nitika said:   2 years ago
The reason why we've subtract from 1:

1 represents the whole work or complete work total work considered as 1(or 100%)
(25)

Juhi saxena said:   9 years ago
If both 1 day work is 7 then 4 days work is 28 and remaining is 32 how can I change it into fraction? Please explain.

Rasim shaikh said:   1 decade ago
Hello, friends!

Can anybody tell, how 1-7/15 get a plus? and I can't understand where the 1 come?

Please help me.

Mish said:   3 years ago
@All.

Why (A+B)'s 4 days of work is calculated?
Why it's not 3,5,6,7 or any other day?
What is the logic behind it?
(10)

Ghhhhgh said:   1 decade ago
Here it is given that A can do a piece of work in 15 days.

So now we can find the A's 1 day work whicvh is =1/15.


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