Q. 134.3( 3 Votes )

# 250 heads of people can dig a pond of size 50 meters long, 35 metres wide and 5.2 deep in 18 days by working 10 hours daily.Let’s work out using the method of the Rule of Three how many days it will take for 300 people to dig a pond of size 65 metres long, 40 metres wide and 5.6 metres deep by working 8 hours daily.

Answer :

theorem1:- The Rule of Three is a Mathematical Rule that allows you to solve problems based on proportions. By having three numbers: a, b, c,

(a)Direct proportions rule of 3:-

if ab

c then

(b)inverse proportions rule of 3:-

if ab

c then

formula:- (i)direct method----

(ii)indirect or inverse proportions xy=k

GIVEN:-method used is called indirect or inverse proportions method

v_{1}=5,

v_{2} =65,

p_{1}=250,p_{2}=300,d_{1}=18,d_{2}=?,h_{1}=10,h_{2}=8

d_{2}=30

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