# Constant of variation?

Dec 4, 2017

Speed and time are inversely proportional.
The constant of variation is 150.

#### Explanation:

Given that :
Distance travelled is 150 Km.
Time = distance/ speed $\implies$ Time required by :

Motorcycle: ${t}_{1} = \frac{150 K m}{75 K m h {r}^{-} 1} = 2 h r s$

Similarly, for

Bus : ${t}_{2} = \frac{150}{60} = 2.5 h r s$

Truck : ${t}_{3} = \frac{150}{50} = 3 h r s$

Bicycle: ${t}_{4} = \frac{150}{20} = 7.5 h r s$

We observe that as the speed reduces the time taken to travel the same distance of 150 Km increases.

Therefore Speed and time are inversely proportional.

$S p e e d \propto \frac{1}{t i m e}$

$S p e e d = \mathrm{di} s \tan c e \times \frac{1}{t i m e}$

So, the proportionality constant ( or constant of variation) is distance = 150 km.