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.
Ravi said:
4 months ago
A + B + C = 1/3
1/6 + 1/8 + 1/x = 1/3.
(4+3)/24 + 1/x = 1/3.
1/x = 1/3 - 7/24
1/x = (8-7)/24
1/x = 1/24.
Therefore x= 24.
Now 1/6 : 1/8 : 1/24.
4/24 : 3/24 : 1/24,
4 : 3 : 1.
So C share is 1 total share 8
C's share = (3200/8 ) *1,
= 400*1,
= 400.
1/6 + 1/8 + 1/x = 1/3.
(4+3)/24 + 1/x = 1/3.
1/x = 1/3 - 7/24
1/x = (8-7)/24
1/x = 1/24.
Therefore x= 24.
Now 1/6 : 1/8 : 1/24.
4/24 : 3/24 : 1/24,
4 : 3 : 1.
So C share is 1 total share 8
C's share = (3200/8 ) *1,
= 400*1,
= 400.
(9)
Vandana said:
7 months ago
Here the ratios of 1/6 : 1/8 : 1/24 do not equal the ratios 4:3:1 as shown in the explanation, there seems to be a mistake in the calculation, it comes to values 3 : 4 : 12.
(12)
Kartik said:
8 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.
(34)
Keerthu said:
9 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.
(43)
Keerthana said:
10 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)
BHK said:
1 year ago
1. A can do in 6 days => 6
2. B can do in 8 days => 8 LCM of 6,8,3 is 48
3. A+B+C an do in 3 days => 3
=>Individual efficiency is;
A's 48/6 => 8 , B's 48/8 => 6 , A+B+C's =>48/3 => 16
=> Now the ratio is A:B:C = 8:6:16.
i.e .., A:B:C = 4:3:8.
Since the above ratio, C's is (4+3)-8=1.
=> New ratio is A:B: C = 4:3:1.
We have to find out how much to be paid for work.
1/8*3200 => 400.
2. B can do in 8 days => 8 LCM of 6,8,3 is 48
3. A+B+C an do in 3 days => 3
=>Individual efficiency is;
A's 48/6 => 8 , B's 48/8 => 6 , A+B+C's =>48/3 => 16
=> Now the ratio is A:B:C = 8:6:16.
i.e .., A:B:C = 4:3:8.
Since the above ratio, C's is (4+3)-8=1.
=> New ratio is A:B: C = 4:3:1.
We have to find out how much to be paid for work.
1/8*3200 => 400.
(20)
BR Alam said:
1 year ago
A can do it in 6 days.
B can in 8 days.
Total work is 24 units (as 24 is the L.C.M of 6 & 8).
A + B + C = 8
(A + B + C) - (A + B),
= 8 - 7,
= 1.
1/8 * 3200 = 400rs.
B can in 8 days.
Total work is 24 units (as 24 is the L.C.M of 6 & 8).
A + B + C = 8
(A + B + C) - (A + B),
= 8 - 7,
= 1.
1/8 * 3200 = 400rs.
(24)
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)
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.
(133)
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)
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