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 rs 1120 for it .Find the share of each in it

Answer 1

Answer:First, we have to calculate their share of work when they are digging together and then distribute 1120 according to it.

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 = 640 rs

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

Hope this Helps

Answer 2

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

hope it helps you dear friend!!