A contractor with a work force of 420 men can complete a work of construction of
building in nine months. Due to request by the owners he was asked to complete
the job in seven months. How many extra men he must employ to complete the job?
Answers
Step-by-step explanation:
let the work to be done be X
Time taken by 420 persons to complete the work ,i.e,X=9months
X =420 × 9
X = 3780
here the job is to be completed within 7 months....so
X / 7 = 3780÷7
lets equate it with 0 so as to get the denominator common for both ....
so ....we get ....
(X -3780).
———–— = 0
7
Cancelling 3780 by 7 ;we get 540 .
X - 540 =0
X = 0 + 540
X = 540
Therefore, the number of employees needed to complete the given job in seven months is 540 ....
And the extra employees needed are :-
(employees needed to _ (employees needed to complete the job complete the job in
in 7months ). 9 months ).
540 - 420 = 120
Therefore 120 extra employees are needed .
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