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Questions  >>  Olympiad-Math  >>  Class 8
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Q)

If 15 workers can build a wall in 48 hours how many workers will be required to do the same work in 30 hours.

$\begin{array}{1 1} 20 \\ 22 \\ 24 \\ 26 \end{array} $

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A)
Solution
15 workers => 48 hrs
x=> 30 hrs
$15 \times 48 = x \times 30$
$\large\frac{ 15 \times 48}{30} $$=x$
$x= 24\; workers$
Answer : 24
As the number of worker building a wall in given time is the fact of inversly proportion, i.e. First condition is depends on second in case of inverse proportion...So, Suppose, X= number of workers Y= number of hours required Then, X= K × 1/Y Where, K is proportionality constant. Now, putting the values in the above equation We have, 15= K × 1/48 K=15 × 48 K=720 We have to build wall in 30 hours So, X= 720 × 1/30 X= 24 So, 24 workers needed to build the wall in 30 hours.
 
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A)
By the proportionality, X = number of workers Y = number of hours required So, X = K × 1/Y K = constant Putting values in above eqn. 15 = K × 1/48, K= 15 × 48 K= 720 For 30 hours, X = K × 1/30 X = 720 × 1/30 X = 24 So, 24 workers needed.
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