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:
351 comments Page 31 of 36.

Atma kumar vishwakarma said:   8 years ago
Let both making toffee.

The total toffee they made is 60 it LCM of 20 and15.
mins A make 60 toffee in 15 days it mins A make 4 toffee a day,
B makes 60 toffee in 20 days it mins B make 3 toffy a day they work together for day
it mins (3+4)*4=28.

In 4 days they made 28 toffee they need to make 60 toffee.
It mins 28/60=7/15.

Pooja said:   8 years ago
Why we subtract 7/15 by 1?

Komal said:   8 years ago
Can you explain how 7/60 came?

Ashik said:   8 years ago
If we calculate A and B 's work together 1/15+1/20 then it will came?

Anu said:   8 years ago
How come 7/60?

Miru said:   8 years ago
1-{4(1/15+1/20)}
=1-{4*7/60}
=1-1/15
8/15 is the answer (d).

Mogarg said:   8 years ago
@All

Here is the Concept of 1.

If a can do work in 5 days, then,
In one day = 1/5.
In 5 days = 1/5+1/5+1/5+1/5+1/5.
= 5/5 =1.
the concept of 1 means total work, not a day so assume our total work 1.

Abhinesh said:   8 years ago
Let,

Do in this way;
Use formula= xy/x+y.
X is 15 and Y 30 if you cross multiply you get an answer.

TRUPTIMAYEE BAHINIPATI said:   8 years ago
Why we subtract 7/15 by 1?

Solution:
Here we consider that the total work is 1.
A&B do a certain work that we don't know so at first we need find the unit of work in 1day
then A+B's working unit per 4 days.
After that we got A&B's total unit of work done ;which is substrated by 1 to got the remaining work.

Fazeena said:   8 years ago
I can't understand 1-7/15.

So, please explain me again or another way.


Post your comments here:

Your comments will be displayed after verification.