Aptitude - Time and Work - Discussion

C's one day work=1/24.
so C's 3 days work is=1/8.
C will take 1/8 part of 3200 which is equal to 1/8*3200=400.

We are multiplying 3200 with 3 because of this reason:

See, A and B worked together and got 3200 for their work. But with the help of C, they could finish their work in 3 days. So, as we can see" with the help of C", so, C 's share is also given by both A and B as A and B has taken help from C.

So, C's share is calculated like this:-.

C's 1 day's work=1/24.

But if we do this:- 3200*1/24; this will be wrong as C will get wages for his 1 day work only.

But given in question that C has worked for 3 days, so 3200*1/24*3= i.e. 3 will also be multiplied, so to give C's share to him completely.

So, answer is 3200*1/24*3=400.

400 is the correct answer.

It's more like the ratio n proportion. The ratio of A:B:C's 1-day work is 1/6:1/8:1/24
24 is multiplied for simplified calculation. If you multiply 24 in the numerator of each, it'd give 4:3:1.

(Because 24/6=4, 24/8=3, 24/24=1).
Sum of the proportion 4:3:1 = 4+3+1 = 8.

Now, A gets = 4/8 of 3200 = 1600,
B gets = 3/8 of 3200 = 1200,
C gets = 1/8 of 3200 = 400.

C's 1day work=total work-(A'a 1day work+B's1day work).
C's work is=1/3-(1/6+1/8).
It's simple.

Can any one help me how the first step is possible?

Please, Anyone can you help me?

Why we are multiplying with 24 to get the ratios of a:b:c?

If A do work in 6days then in 3days the amount he will get=3/6*3200=1600.
If B do work in 8days then in 3days the amount he will get=3/8*3200=800.
Therefore,1600+800(A+B)took together=2800.
Now, total amount=3200.
So the amount C will get=3200-2800=400(answer).

Thanks for all the given explanations.

Thanks for the given Explaination.