1.

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

Answer»

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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



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