Constant of variation?

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1 Answer
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 => Time required by :

Motorcycle: t_1 = (150Km)/(75 Km hr^-1) = 2 hrs

Similarly, for

Bus : t_2 = 150/60 = 2.5 hrs

Truck : t_3 = 150/50 = 3 hrs

Bicycle: t_4 = 150/20 = 7.5 hrs

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.

Speed prop 1/(time)

Speed = distance xx 1/(time)

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