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 36 of 36.

Abishek Aryal said:   7 months ago
In 1 day A can do 1/20.
In 3 days A can do 3/20.

In 1 day B can do 1/30.
In 1 day c can da 1/60

In 3 days ( 3 day of A+ 1 day of B + 1 day of C) = 1/5.

Now,
1/5 in 3 days.
1 in 15 days.
(51)

RAJA said:   5 months ago
Why have to take 3 days of work?
(18)

Shreemanjesh said:   5 months ago
A = 20, B = 30, c = 60,
LCM = 60,
A = 3,
b = 2,
C = 1.
A = 3 × 3 = 9 + (abc)6 = 15.
(36)

Deepa said:   3 months ago
LCM of A, B, C's works = 60,
And the work done by A in 1 day = 3 (60/20),
so in 2 days work done by A is = 3*2= 6,
And work done by A+B+C in 1 day = 6 [(60/20) + (60/30) + (60/60)],
So total work done for 3 days = 12,
So the total number of days required to complete 60 units of work = 60 * 3/12 = 15.
(7)

Krishna said:   3 months ago
Here, A alone complete the whole work then answer is 20. Because total work is 60 and A's efficiency is 3.

Then 60/3 = 20 days.
(4)

Suram Ramana Reddy said:   3 weeks ago
A = 20/60 -> 3 units
B = 30/60 -> 2 units
C = 60/60 -> 1 unit
= 6 units.

L.C.M=60
B and C help on every third day, which means A can do the work alone for 2 days.
2 days A work = 3x3 = 9 units + 3rd day(A+B+C) 6 = 15.
(13)

Madhu said:   19 hours ago
Yes, I think 20 is the correct answer.


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