Question

The Jung family travels 300 km to a relative's home. The distance, d, in kilometres, varies directly with the time, t, in hours.

a) Find an equation relating d and t if d=144 when t=1.5. What does the constant of variation represent?

b) Use the equation to determine how long it will take the Jungs to reach their destination.

Answer 1

The distance, d, in kilometers, varies directly with the time, t, in hours.

d = Kt
K is the constant of proportionality .

K = d/t

a) K = 144/1.5
= 96 Km/h
K shows the speed.

b) t = d/K
= 300/96
t = 3.125 hours