Question

Hari and ravi accepted to complete a work in 375 rupees. Hari alone complete the work in 20hrs and ravi alone complete the work in 30 hrs. with the help of Shyam they complete the work in 8 hrs then how much labour charge should they give to Shyam?​

Answer 1

Answer:

Shyam  = Rs 125

Step-by-step explanation:

Hari can complete the job in 20 hours.

1 hour = 1/20 of the work

Ravi can complete the work in 30 hours

1 hour = 1/30 of the work

Together:

1 hour = 1/20 + 1/30 = 1/12 of the work

Define x:

Let Shyam can complete the job in x hour

1 hour = 1/x

The 3 of them:

1 hour = 1/12 + 1/x

Solve x:

The can complete the work in 8 hours

1/12 + 1/x = 1/8

(x + 12)/12x = 1/8

8(x + 12) = 12x

8x + 96 = 12x

4x = 96

x = 24

Find the ratio:

Hari : Ravi : Shyam

1/20 : 1/30 : 1/24

30x24 : 20x24 : 20x30

720 : 480 : 600

720÷120 : 480÷120 : 600÷120

6 : 4 : 5

Find the amount Shyam should receive:

6 + 4 + 5 = 15 units

15 units = Rs 375

1 unit = Rs 25

Shyam = 5 units = 5 x 25 = Rs 125

Answer: Shyam should receive Rs 125

Answer 2

Answer:

Step-by-step explanation: