A contractor decided to complete the work in 90 days and employed 50 men at the beginning and 20 men additionally after 20 days and got the work completed as per schedule. If he had not employed the additional men,how many extra days would he have needed to complete the work?
Answers
QUESTION:-
A contractor decided to complete the work in 90 days and employed 50 men at the beginning and 20 men additionally after 20 days and got the work completed as per schedule. If he had not employed the additional men,how many extra days would he have needed to complete the work?
SOLUTION:-
50 men have already worked for 20 days and completed a part of the work.
If the remaining work is done by 70 men (50 + 20 = 70), the work can be completed in 70 days and the total work can be completed
in 90 days as per the schedule.
Let "x" be the no. of days required when the remaining work is done by 50 men.
For the remaining work,
70 men -------- > 70 days
50 men -------- > x days
The above one is a inverse variation.
Because, when no. of men is decreased, no. of days will be increased.
By inverse variation, we have
70 ⋅ 70 = 50 ⋅ x
4900 = 50x
98 = x
So, if the remaining work is done by 50 men, it can be completed in 98 days.
So, extra days needed = 98 - 70 = 28 days.
Answer:
28 days is answer
Step-by-step explanation:
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