Q. 15.0( 1 Vote )
Complete the following table showing an instance of inverse proportion. The table shows the number of workers carrying out a task and the number of days they take to do it.
Answer :
Let the missing values be x, y, z as shown
Let ‘a’ be some value in number of workers and ‘b’ be some value in days
Given a ∝ 
⇒ a = k × 
⇒ ab = k
When number of workers = 30 i.e. a = 30
days require = 4 i.e. b = 4
using k = ab
⇒ k = 30 × 4
∴ k = 120
As by given it is inverse proportion
⇒ 8x = 10y = 24z = 120
Consider 8x = 120
⇒ x = 
= 15
∴ x = 15
Consider 10y = 120
⇒ y = 
= 12
∴ y = 12
Consider 24z = 120
⇒ z = 
= 5
∴ z = 5
The table becomes
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PREVIOUSIn each example, find the constant of proportionality and write the equation of variation.(1) The quantity y varies directly as x. When the value of y is 20, the value of x is 4.(2) p α q. When p is 12, the value of q is 18.(3) c α d. When c = 28, d = 21.(4) m α n. When m = 7.5, n = 10.NEXTIn each example, find the constant of proportionality and write the equation of variation.(1) When y = 15, x = 14(2) When w = 24, z = 2.5(3) When t = 5.5, s = 4.4
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