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.
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Answered by
8
Answer:
Step-by-step explanation:
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
Answered by
3
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!!
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