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 13 of 36.

Shakti said:   1 decade ago
Last step. 1/5th of work completed in 3 days.

We have to find 1 or whole work can completed in how many days.

1/5th work= 3 days.

1 work= 3/ (1/5) = 3*5= 15 days.

Vinay vidhani said:   1 decade ago
Please tell me some one where I'm doing mistake.

Hear A can do a work in 20 days B-30 days and C doing in 60 days.

A's 3 day work is 1/20*3.

B's work will be on 3rd day is 1/90 and C's - 1/180 they work together then answer is coming 6 days please tell about that's solution soon please.

Narayana said:   1 decade ago
A work in 2 Days = 1/20*2 = 1/10.

After 3rd day add in B, C. So A, B, C work in 1 day.

= 1/20+1/30+1/60 = 1/10.

2days + 1 day = 1/10+1/10 => 1/5.

Work completed = 1/5*3 = 15 days.

Karthikeyan said:   1 decade ago
Please explain me the lcm method for this problem.

Arun said:   1 decade ago
Can you explain the 3rd step please?

Chaaya said:   1 decade ago
Can anybody explain me why 5 is multiplied by 3 at the end??

Nirav said:   1 decade ago
@chaaya:
1/5 work done in no. of days= 3
1 work done in no. of days= ?
so it is 3/(1/5)= 3*5=15

Netra said:   1 decade ago
Please tell me why they have multiplied 3 day's work with 5.

Trisha said:   1 decade ago
Whole work will be done in (3 x 5) = 15 days.

I m unable to understand a last step. Explain me?

How they multiply by 5?

Durga said:   1 decade ago
LCM of 20,30,60 is 600
A's work is 600/20
if b and c on third day then 2 days(first and second) for A and 1 day for B and c(third day)
so A's work is 600/(20*2)=600/40=15


Post your comments here:

Your comments will be displayed after verification.