Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 5)
5.
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
Rs. 375
Rs. 400
Rs. 600
Rs. 800
Answer: Option
Explanation:

C's 1 day's work = 1 - 1 + 1 = 1 - 7 = 1 .
3 6 8 3 24 24

A's wages : B's wages : C's wages = 1 : 1 : 1 = 4 : 3 : 1.
6 8 24

C's share (for 3 days) = Rs. 3 x 1 x 3200 = Rs. 400.
24

Discussion:
179 comments Page 10 of 18.

SAI SRI said:   8 years ago
A's SHARE =3/6*3200 = 1600.
B's SHARE =3/8*3200 = 1200.

TOTAL A & B =1600+1200 = 2800.
C's SHARE =3200-2800 = 400.

Samrat said:   9 years ago
3*1/24*3200.
How it come, normally we add all the ratio and the ratio is 4:3:1.

How I find the share of A and B?

Keerthu said:   10 months ago
A + B + C = 1/3.
A + B = 1/6 + 1/8 = 7/24,
C = 1/3 - 7/24 = 1/24,
C's share 3 days of work = 3 * 3200/24 = 400.
(49)

Preeti2009_delhi@yahoo.com said:   1 decade ago
If both a and b work together on the single piece than in how many days they will complete their work and how?

Ved Prakash Singh said:   8 years ago
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.

Shivani kumari said:   6 years ago
A's 3day ways = (1/6)*3*3200 = 1600.
B's 3day ways = (1/8)*3*3200 = 1200.
C's 3day ways = 3200-(1600+1200).
(6)

Billal BD said:   5 years ago
1/6+1/8+1/x= 1/3.
=> 1/x= 1/3- 1/6-1/8.
=> 1/x= 1/24,
=> x= 24.

4:3:1.
C's share = Rs. 400.

KIRAN said:   1 decade ago
In the end, why we have multiplied 3200 with C's 3 day work whereas it is the salary of both A and B ?

Raj said:   1 year ago
A = 1/6 = [4]
B = 1/8 = [3]
A + B + C = 1/3 = [8]
L.c.m = 24
A = 4, B = 3 and C = 1
3200/8 = 1.
= 400.
(25)

Sateesh Vudum said:   1 decade ago
Find the Ratio among the A, B, C.

Add the ratios = 4:3:1 = 8.

8-32000.
1-?

= 3200/8 = 400's wages.


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