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 23 of 35.

Mangu said:   1 decade ago
Let's total total work is 1.

A can do in 15 days.
A can do it in 1 days = 1/15.

Similarly B can do it = 1/20.
They work totally in a day = 1/15+1/20 = 7/60.

A and B do together in 4 days.
So work done in 4 days = 7/60x4 = 7/15.

Then left work is, Total work - 4 days work. i.e, 1-7/15 = 8/7 (Ans).

Sunita said:   1 decade ago
Why they take like this 1-(7/15)?

Mallarapusudhakar said:   1 decade ago
a = 15, b = 20, together c = 4 but LCM of in this 3 numbers is 60.

So a is 15(4), b is 20(3) and c is 4(15).

The first of 2 function is (4+3) remaining c(15).

The total of LCM(60).

15-7 = 8.

8/60 answer.

Sasi said:   1 decade ago
@Sassy.

First, we have to calculate the work done for 1 day. For that we have to divide the number of days by 1.

So, A's 1 day work = 1/15 and B's 1 day work = 1/20.

Work done by A and B for 1 day is (1/15)+(1/20) = 7/60.

Here, L.C.M is taken.

As per question given, For 4 days, multiple with 4 then we can get.

Work done by A and B for 4 days = 4(7/60) = 7/15.

Here too L.C.M is taken.

Total work is 1(Assumption).

So,Work left = Total work - Work done by A and B.

Therefore, work left = 1-(7/15) = 8/15.

This is the answer.

I hope this helps you.

Mounika said:   1 decade ago
Why 300 will come?

Rohit wadile said:   1 decade ago
(a*b)/a+b = work out.

(15*20)/15+20 = 4.

300/35 = 4.

7/15.

Remaining Work = (1-7/15).

Answer = 8/15.

Sassy said:   1 decade ago
I'm not getting it at all can someone explain it why 70/60 in the easiest explanation please.

Srikanth said:   1 decade ago
In all these problems total work taken as "1" so we have to remove the resulting answer i.e., 7/15 from total work"1" so remaining work is (1-7/15) i.e., 8/15.

Deepak said:   1 decade ago
Why are using 1-7/15?

Vikki ls said:   1 decade ago
Hi sir,

How would you calculate the 7/16*4 for to knowing the 4/15=60 ?

Please tell me sir.


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