4/7th of a pole is in the mud. When 1/3rd of it is pulled out, a 5 meter long piece of the pole is still in the mud . what is the full length of the pole?
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the phrase 1/3rd of it is very confusing. 1/3rd of whole pole or 1/3rd of pole in mud. I am taking it as 1/3rd of whole pole
let full length of pole be x
in the mud = 4x/7
1/3rd of pole is pulled i.e. x/3
remaining in mud = 4x/7 - x/3
but remaining pole in mud in 5 m
so,
4x/7 - x/3 = 5
(12x - 7x)/21 = 5
5x/21 = 5
5x = 21*5
x = 21*5/5
x = 21 m
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