Question

A can dig a trench in 6 days while B can dig it in 8 days. They dug the trench working together
and received ₹1120 for it. Find the share of each in it.​

Answer 1

$\huge\mathtt\red{Answer}$

The share of work can be calculate using their productivity. (who works in how many days)

In 6 days A can dig = 1 trench

in 1 day A will dig= 1/6  trench

In 8 days B can dig = 1 trench

in 1 day B will dig= 1/8  trench

the ratio of their productivity =  1/6  : 1/8

= 4 : 3 

total = 4+3= 7

A's share= (4/7)x(1120)= 4x160 =ʀꜱ 640

B's share= (3/7)x(1120) = 3x160 =ʀꜱ 480

Answer 2

☯ AnSwer :

• Share of A = 640 Rs
• Share of B = 480 Rs

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☢ GiVen :

• Total no. day's to dig a trench (A) = 6 days.
• Total no. of day's to dig trench (B) = 8 days.
• Rate received = Rs 1120

☢ To Find :

• Share of each = ?

☢ SoluTion :

• Total share of their work can be calculated by using their productivity of each others.

$\implies$ In 6 days (A) can dig = 1 trench

$\implies$ So, in 1 day (A) would dig= 1/6  trench

Similarly,

$\implies$ In 8 days (B) can dig = 1 trench

$\implies$ So, in 1 day (B) would dig= 1/8  trench

Now, let's calculate the ratio of their productivity,

$\implies$ Ratio :

$\implies$ 1/6  : 1/8

$\implies$ 4 : 3 

• Total productivity rate, = 4 + 3 = 7

$\implies$ Share of A :-

$\implies$ (4/7) × (1120)

$\implies$ 4 ×160

$\implies$ 640 Rs

Now,

$\implies$ Share of B :-

$\implies$ (3/7) × (1120)

$\implies$ 3 × 160

$\implies$ 480 Rs

⛈ Therefore, Rs 650 and Rs 480 are the shares respectively. ⛈

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