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 25 of 36.

Harkanwal said:   1 decade ago
Why 32 by 60? Explain in detail.

Basivireddy said:   1 decade ago
Hi guys, this is Basivireddy.

A can be work in 15 days = 1/15.

B Can be work in 30 days = 1/30.

1/15 + 1/30.

7/60 this is one day work.

We want 4 days work that's why it is 4*7/60 = 28/60 = 7/15.

Now one day work means they left one day so.

1-7/15 = 8/15, I hope so you understood, Thank you guys, have a great day.

Vikas said:   1 decade ago
Can you explain how is 7/60 came?

GANESH said:   1 decade ago
A do the work in 1 day is = 1/15.
B do the work in 1 day is = 1/20.

So LCM of 15, 20 is = 60.

Now,

A's work is 1/15 * 60 = 4.
B's work is 1/20 * 60 = 3.

Then (4 + 3/60) = 7/60.

7/60 is one day work of A+B.

We want 4 days work of A+B.

Then,

(4 * 7/60) = 28/60.

=> 7/15.

Now one day work is (1 - 7/15) = 15 - 7/15.

=> 8/15 is the answer.

Nanda said:   1 decade ago
How you got 7/15?

Anoof said:   1 decade ago
60 divides 4 by 15 times that means 4 * 15 = 60.

Sushant said:   1 decade ago
How 7/60 come?

How to solve 1/15 + 1/20? Explain me.

Ashwini G C said:   10 years ago
Hi friends,

Happy to see you all discussing the problems and the solution given by each of them is awesome.

In fact, I could solve the problem by seeing this 'discussion forum'. I had all the doubts as others had and I used to get a solution for it. So, I thought of thanking you all.

Rasim shaikh said:   10 years 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.

Deepa said:   10 years ago
@Swetha.

Thanks! Your explanation is very good and it is easy to understand.


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