Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 3)
3.
A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
12 days
15 days
16 days
18 days
Answer: Option
Explanation:

A's 2 day's work = 1 x 2 = 1 .
20 10

(A + B + C)'s 1 day's work = 1 + 1 +1 = 6 = 1 .
20 30 60 60 10

Work done in 3 days = 1 + 1 = 1 .
10 10 5

Now, 1 work is done in 3 days.
5

Whole work will be done in (3 x 5) = 15 days.

Discussion:
357 comments Page 11 of 36.

Kamalakannan said:   1 decade ago
Could you tell me? why you take A has done by 2 days work?

Eswarijana said:   1 decade ago
I can't understand the last step.

Renjini said:   1 decade ago
How could get 1/5? I can't understand.

Tania said:   1 decade ago
@kamalakannan

Because A alone does the work in FIRST day and in 3rd day he takes the help of B, C. So 1st A's 2daz work is calculated.

Naari said:   1 decade ago
@vikas.

Good work dude.

Sindhuja said:   1 decade ago
@monoj.

Superb explanation.

Emmanuel said:   1 decade ago
Can someone help me out? why are they multiplying 3 and 5 but not any number for example 3 and 6 making 18 ?

Sai said:   1 decade ago
I still can't get clarification.

In the question they asked that in every 3rd day of A's work.

But in explanation how can you say for only 3 days.

Subasish said:   1 decade ago
A's 1 day work = 1/20
B's 1 day work = 1/30
C's 1 day work = 1/60
since on 3rd day A get assistance of B & C
so 3 days work = A's 3 days work + ( B's + C's )1 day work
= 2*(1/20)+ 1/30 + 1/60
= 12/60 = 1/5
1/5 parts is done by 3 days
1 or whole part is done by (5*3)= 15 days

Shro said:   1 decade ago
Sorry Guys. Can somebody please explain me more clearly.
My doubt is
" when we say A+B+C =1/10.
it means we have considered 1 day's work of A,B,C and the answer 1/10 is total of all 3 together working days"


" so when we say A's 2 day's work = 1/10
it means we are considering only A's 2day's work "

So,finally when we add for 3 days= (1/10) + (1/10)
here 1/10 is A's 2day's work, but when we take 2nd time 1/10 then does'n it mean that we are considering all 3 working together's total 1/10 ????

As the given question is In how many days can A do the work if he is assisted by B and C on every third day?

Hope u can udnerstand what I wrote above ...


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