Working alone A can do a job in 24 days, while B will take 12 days

find out the number of days A, B C and D can work
a= 24 days
b = 12 days
c= 24 days
d = 48
hence the ratio of the money theyget will be inverse of teh days they finish a task
hence they get money as 24: 12:24:48/48
or 2:4:2:1
total is 9000 hence D gets 1/9 *9000 = 1000
Answer A

a = 1/24
b = 1/12
b+c = 1/8 -->1/12 + 1/c = 1/8 --> b=1/24
a+d = 1/16 -->1/24 + 1/d = 1/16 --> d=1/48

1= (1/24+1/12+1/24+1/48)t
1 = 9/48t
t = 48/9

dt = 1/48*48/9 = 1/9
9000*1/9 = 1000

We see that the rates of A and B are 1/24 and 1/12, respectively. If we let c and d be the number of days it takes C and D to finish the job alone by themselves, respectively, we can say that C’s rate is 1/c and D’s rate is 1/d, and we can create the equations:

1/12 + 1/c = 1/8

and

1/24 + 1/d = 1/16

Multiplying the first equation by 24, we have:

2 + 24/c = 3

24/c = 1

c = 24

Similarly, multiplying the second equation by 48, we have:

2 + 48/d = 3

48/d = 1

d = 48

So the rates of C and D are 1/24 and 1/48, respectively.

The ratio of their shares of the total sum of money is equal to the ratio of their work rates:

A : B : C : D = 1/24 : 1/12 : 1/24 : 1/48 = 2 : 4 : 2 : 1

Letting x = the amount received by D, we can create the equation:

2x + 4x + 2x + x = 9000

9x = 9000

x = 1000

Answer: A