Question

A can dig a trench in 7 days. But can dig a trench in 12 days.the trench working together and get a sum of rtn 358.how should they divide the money​

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