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:
362 comments Page 33 of 37.

Sathish said:   2 decades ago
Hi friends,

we know that whole work completed means we will denote it as 1(full)....

2=1(in 2days full work get completed)
5=1(in 5days full work get completed)
just simple 5=1/2 =>5*2=1(just cross multiple the 2)

Benny said:   2 decades ago
Here my simple ans:

A is working continue 2 day's.So he's 2day's work is:1/20*2=1/10;

in 3rd day he join other two person B and C.So here 3 member work:

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

3 day's work is :1/0+1/10=1/5

So total work done by them is 10+5=15;
(1)

Sindhu said:   2 decades ago
@Baskar

Can you please explain me why do you cross multiply at the end for the answer?

Kumar said:   2 decades ago
Can you please tell me how you get 6/60?

Arpit Mathur said:   2 decades ago
Hey please explain why A's 2 day work is taken?

Balaram said:   2 decades ago
Thank you everybody for participating in the discussion and making clarification for all my unanticipated doubts.... Nikita Prasad gave good explanation.

Fathi said:   2 decades ago
Awesome explanation nikitha! this is Wat I was searching for:-).

ROSE said:   2 decades ago
Work done in 3days=1/10(A'S 2DAYS WORK)+1/10(1DAY WORK FROM ABC)
=2/10=1/5

NOW CROSS MULTIPLY FOR 1/5 3DAYS ARE REQUIRED FOR 5/5 DAYS HOW MANY DAYS ARE REQUIRED
NOW 5/5=1
1*3/1/5=
3*5/1=15

Shreya said:   2 decades ago
I dint get how did you multiply 5*3. It was 1/5 83?

Ramesh said:   2 decades ago
Nice explanation nikitha:-)


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