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.

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

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Direct Proportion117 mins
Do You Know Direct and Inverse Proportion??48 mins
NCERT | Inverse Proportion51 mins
NCERT | Quiz on Direct and Inverse Proportion48 mins
Quiz | Direct and Inverse Proportions47 mins
Smart Revision | Quiz on Ratio and Proportion43 mins
Quiz | Direct and Inverse Proportion43 mins
Mastering Direct Proportions35 mins
Smart Revision | Direct and Inverse Proportion44 mins
NCERT | Direct and Inverse Proportion46 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

In 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

MHB - Mathematics (Old)