Question

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

Answer 1

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

Answer 2

Step-by-step explanation:

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