Question

A Alone can finish a piece of work in 10 days while B alone can do it in 15 days. If they work together and finish it, then out of total wages of rupees 3000, A will get.......

Answer 1

Efficiency of A and B = 1/2x:1/3x = 3x : 2x 

                                 total wages = 3000 rs = 5x

                                                therefore A : B = 1800: 1200

                                 

Answer 2

$\large\underline\pink{Given:-}$

• A Alone can finish a piece of work in 10 days while B alone can do it in 15 days.

$\large\underline\pink{To find:-}$

• Find the wages .....?

$\large\underline\pink{Solutions:-}$

The wage distribution will follow the work distribution ratio, we have,

work done by A in 1 day = 1/10

work done by B in B 1 day = 1/15

net work done by (A + B) in 1 day

⟹ 1/10 + 1/15

⟹ 3 + 2 / 30

⟹ 5/30

⟹ 1/6

i.e, (A + B) will take 6 days to complete the work.

A's share of take 6 days

⟹ 1/10 ÷ 1/6

⟹ 1/10 × 6/1

⟹ 6/10

⟹ 3/5

A's wage

⟹ 3/5 × 3000

⟹ 3 × 600

⟹ 1800

Hence, the wage is 1800.