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 17 of 35.

Chandradeepa said:   6 years ago
By considering LCM 60 in that case why should we need to do remaining work divided by total work.

Sugan said:   1 year ago
1 (total work) - 7/15 (together completed work in 4 days).
Lcm = 15 then (15/15 -7/15) = 8/15.
(7)

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.

Vamshi said:   1 decade ago
@Deepa.

(1/15+1/20) L.C.M of 15, 20 is 60.

So 1/15*60 = 4.

And 1/20*60 = 3.

4+3/60 = 7/60.

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

Vinay gudipati said:   7 years ago
Very simple,
15+20=35,
15*20=300,
35/300=7/60,

work is 1 so=1-7/15.
=15-7/15,
Ans is = 8/15.

Dinesh said:   10 years ago
This problem ok I can understand but some other problems I can't understand my dear friends.

Sak said:   1 decade ago
1/15 * 4/4 = 4/60 ok.
1/20 * 3/3 = 3/60 ok.

How do we get 4/4 and 3/3 ? Please explain.

DEEPAK said:   1 decade ago
A = 20, B = 15.

TOTAL WORK FOR ONE DAYS = 7/60.

4 DAYS = 7/15.

Remaining work = 8/15.

Aravind said:   1 decade ago
Why calculate the remaining work (1-7/15) ? The question ask to find the fraction left.


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