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

Space between 80 evenly spaced chairs = 21m

Explanation:

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

No. of chairs ∝
`(1)/(Distance.Between.chairs)`

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

70 ∝
`(1)/(24)`

For, 1 chair , we divide both sides by 70

`(70)/(70)` ∝
`(1)/(24(70))`

1 ∝
`(1)/(24 (70))` -----------------------(Equation 1)

For 80 chairs:

Multiply both sides of Equation.1 by 80

80 ∝
`(80)/(24 (70))`

80 ∝
`(1)/(21)`

So according to the above relation,

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