Question

The number of chairs on a ski lift is inversely proportional to the distance between them a lift has 70 chairs when there’s space 24 m apart if 80 evenly spaced chairs are used on the lift how much space will be left between them?

Answer 1

Answer:

Space between 80 evenly spaced chairs = 21m

Step-by-step explanation:

So, according to the given statement, we have the following expression:

No. of chairs ∝ $\frac{1}{Distance.Between.chairs}$

70 chairs are 24m apart, so it can be written as:

70  ∝ $\frac{1}{24}$

For, 1 chair , we divide both sides by 70

$\frac{70}{70}$ ∝ $\frac{1}{24(70)}$

1 ∝ $\frac{1}{24 (70)}$               -----------------------(Equation 1)

For 80 chairs:

Multiply both sides of Equation.1 by 80

80  ∝ $\frac{80}{24 (70)}$      

80  ∝ $\frac{1}{21}$      

So according to the above relation,

80 evenly spaced chairs will have a space of 21 m between them.