Advertisements
Advertisements
प्रश्न
The information about numbers of workers and number of days to complete a work is given in the following table. Complete the table.
| Number of workers | 30 | 20 | 10 | ||
| Days | 6 | 9 | 12 | 36 |
उत्तर
It can be observed from the given table that if the number of workers is increased from 20 to 30, then the number of days to complete the work decreases from 9 days to 6 days. So, the number of workers and the number of days to complete a work are in inverse variation.
Let the number of workers be y and the number of days to complete a work be x.
Here, y inversely varies as x, i.e., `y α 1/z`.
\[\therefore y = \frac{k}{x}\] , where k constant of variation
⇒ x × y = k
When y = 30, x = 6.
∴ k = 6 × 30
= 180
So, the equation of variation is xy = 180.
When x = 12,
12y = 180
y = `180/12`
⇒ y = 15
When y = 10,
10x = 180
x = `180/10`
⇒ x = 18
When x = 36
36y = 180
y = `180/36`
⇒ y = 5
The complete table is given below.
| Number of workers | 30 | 20 | 15 | 10 | 5 |
| Days | 6 | 9 | 12 | 18 | 36 |
संबंधित प्रश्न
Write the following statement using symbol of variation.
The wavelength of sound (l) and its frequency (f) are in inverse variation.
Write the following statement using symbol of variation.
The intensity (I) of light varies inversely with the square of the distance (d) of a screen from the lamp.
x varies inversely as y, when x = 15 then y = 10, if x = 20 then y = ?
Find constant of variation and write equation of variation for the example given below.
p ∝ \[\frac{1}{q}\]; if p = 15 then q = 4
Find constant of variation and write equation of variation for the example given below.
z ∝ \[\frac{1}{w}\] ; when z = 2.5 then w = 24
Find constant of variation and write equation of variation for the example given below.
s ∝ \[\frac{1}{t^2}\] ; if s = 4 then t = 5
Find constant of variation and write equation of variation for the example given below.
x ∝ \[\frac{1}{\sqrt{y}}\] ; if x = 15 then y = 9
The boxes are to be filled with apples in a heap. If 24 apples are put in a box then 27 boxes are needed. If 36 apples are filled in a box how many boxes will be needed?
If x and y vary inversely, find the values of l, m, and n :
| x | 4 | 8 | 2 | 32 |
| y | 4 | l | m | n |
If x and y vary inversely, find the values of l, m, and n :
| x | 24 | 32 | m | 16 |
| y | l | 12 | 8 | n |
