Question

 A, B and C can independently do a iwork in 15 days, 20 days and 30 days. respectively. They work together for some time after which Cleaves. A total of Rs. 18000 is paid for the work and B gets Rs. 6000 more than C. for how many days did A work?

Answer 1

Answer:

Step-by-step explanation:

A = 15days, B = 20 days, C= 30 days

=> work rate of A, B and C is

A = 1/15

B = 1/20

C = 1/30

=> Suppose, C received Rs. x

B = Rs. (x + 6000)

C = Rs. (x + 6000)

=> They work together for some time and Rs.18000 is paid for their work therefore,

A+B+C = 18000

(x + 6000) + (x + 6000) + x = 18000

3x + 12000 = 18000

3x = 18000 - 12000

3x = 6000

x = 2000

Thus, C received Rs. 2000, B received Rs. 8000 ( 2000 + 6000 ) and C also received Rs. 8000.

Now, Pay ratio : A:B:C = 8000 : 8000 : 2000

∴ A:B:C = 8:8:2

=> = 8/15 + 8/20 + 2/30

=32 / 60 + 24 / 60 + 4 / 60

= 60/60

= 1

∴ A = 8 / 15 days

∴ A = 8 days

Thus, A did work for 8 days.