Ir 10 workers can build a wall in 50 hours, then the number of workers will be
required to do the same work in 25 hours
Answers
Given:
If 10 workers can build a wall in 50 hours.
To Find:
The number of workers will be required to do the same work in 25 hours.
Solution :
Let the number of workers required to do the same work in 25 hours = x
Workers : Hours : : Workers : Hours
=> 10 : 50 : : x : 25
=> By Inverse proportion
=> 10*50 = 25x
=> 500 = 25x
=> x = 500/25
=> x = 20
Hence, The number of workers will be required to do the same work in 25 hours are 20 workers.
Given:
10 workers can build a wall in 50 hours.
To Find:
Number of workers will be required to do the same work in 25 hours.
Solution :
Let the number of workers required to do the same work in 25 hours be x.
Number of workers 10 x
Number of hours 50 25
Less the number of hours ,more will be the number of workers
Hence, the number of hours & the number of workers are inversely proportional to each other.
10 × 50 = 25 × x
500 = 25 × x
x = 500/25
x = 20
Hence, the number of workers required to do the same work in 25 hours are 20 workers.
Some extra information :
Inverse variation:
Two quantities x and y are said to vary inversely or indirectly if an increase in x causes a decrease in y and a decrease in x causes an increase in y in such a way that xy remains constant.
In other words x and y are said to vary indirectly if x y = k, where k is a positive constant.
In inverse Proportion
xy = k
x = k/y
So we can find value of k from known values, and then use the formula to calculate the unknown values
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