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?
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 1 of 18.
Karan k said:
3 years ago
A+B = 1/6+1/8 = 7/24.
7/24*3 = 7/8.
REMAINING WORK---> 1/8.
1/8 * 3200 = 400 rs.
7/24*3 = 7/8.
REMAINING WORK---> 1/8.
1/8 * 3200 = 400 rs.
(148)
Vishal kanvajiya said:
2 years ago
A = 6
B = 8
A + B + C = 3
C = ?.
Lcm = 24
A = 4, B = 3,A + B + C = 8.
C = 8 - 7 = 1,
C = 1.
Money = 3200/8 = 400.
C = 1 * 400 = 400.
Answer is 400.
B = 8
A + B + C = 3
C = ?.
Lcm = 24
A = 4, B = 3,A + B + C = 8.
C = 8 - 7 = 1,
C = 1.
Money = 3200/8 = 400.
C = 1 * 400 = 400.
Answer is 400.
(144)
LEE SOHO said:
2 years ago
@ALL
A+B = 1/6 + 1/8 = 7/24,
7/24 x 3 = 7/8,
Then, REMAINING WORK ------>1/8
1/8 x 3200 = 400.
A+B = 1/6 + 1/8 = 7/24,
7/24 x 3 = 7/8,
Then, REMAINING WORK ------>1/8
1/8 x 3200 = 400.
(134)
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.
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.
(47)
Aya adel said:
2 years ago
if a &b end the job they take 3200.
a = 1/6.
b = 1/8.
a+b+c = 1/3.
1/6 + 1/8 + 1/c = 1/3.
1/c = 1/3 - 7/24.
1/c = 1/24.
if c works for 24/24 days it will take 3200.
but it works for 3 days 3/24.
So 3200*3/24 divided by 24/24.
Then answer is 400.
a = 1/6.
b = 1/8.
a+b+c = 1/3.
1/6 + 1/8 + 1/c = 1/3.
1/c = 1/3 - 7/24.
1/c = 1/24.
if c works for 24/24 days it will take 3200.
but it works for 3 days 3/24.
So 3200*3/24 divided by 24/24.
Then answer is 400.
(46)
Avinash said:
3 years ago
@All
Here, we have to find C's 1day work.
A's1day + B's1day + C's1day = total work done in one day for 3 days by A+B+C.
= 1/6 + 1/8 + C = 1/3.
(1/6+1/8) + C = 1/3.
(7/24)+C = 1/3.
Therefore, C= 1/3-7/24.
C=1/24.
Am I right? Please clarify me.
Here, we have to find C's 1day work.
A's1day + B's1day + C's1day = total work done in one day for 3 days by A+B+C.
= 1/6 + 1/8 + C = 1/3.
(1/6+1/8) + C = 1/3.
(7/24)+C = 1/3.
Therefore, C= 1/3-7/24.
C=1/24.
Am I right? Please clarify me.
(43)
Keerthana said:
11 months ago
1/6 + 1/8 + 1/C = 1/3.
1/C = 7/24-1/3.
1/C = 1/24( 1 day's work of C).
3 days work of C-->3/24= 1/8.
1/8 x 3200 = ₹400.
1/C = 7/24-1/3.
1/C = 1/24( 1 day's work of C).
3 days work of C-->3/24= 1/8.
1/8 x 3200 = ₹400.
(40)
Kartik said:
9 months ago
The Lcm of 6 and 8 is 24(total work) the A = 4 and B = 3.
Given 3(A+B+C) = 24.
By substituting A and B values C = 1.
The ratios of A, B, C are 4:3:1.
C's share is = 1/8 × 3200 = 400.
Given 3(A+B+C) = 24.
By substituting A and B values C = 1.
The ratios of A, B, C are 4:3:1.
C's share is = 1/8 × 3200 = 400.
(38)
Pritam said:
3 years ago
Its too easy.
A can do a job in 6 days: A=6.
B can do a job in 8 days: B=8.
6&8 LCM is 24.
Now, 6 * 4 = 24(A). 8 * 3 = 24(B).
A + B + C = 3Days, 3 * 8 = 24(A+B+C).
If ABC= 8 and A is 4 And B is 3.
So, (4-3 = 1:C) : C= 1.
Now ratio will be 4:3:1.
And C =400.
A can do a job in 6 days: A=6.
B can do a job in 8 days: B=8.
6&8 LCM is 24.
Now, 6 * 4 = 24(A). 8 * 3 = 24(B).
A + B + C = 3Days, 3 * 8 = 24(A+B+C).
If ABC= 8 and A is 4 And B is 3.
So, (4-3 = 1:C) : C= 1.
Now ratio will be 4:3:1.
And C =400.
(25)
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.
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)
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