Question

I cover a certain distance in 3 hours. If my speed increases by 1/3, why is my travel time not also reduced by 1/3 (so travel the same distance in 2 hours)?

Answer 1

t = 2.25 h

Explanation:

In the case, I cover distance d in 3 hours

d = 3 * v₁ (1)

In the second case my speed increase by 1/3 then my speed is

v₁ + (1/3) v₁ = (3/3 + 1/3 ) *v₁

my new speed is (4/3) * v₁ and

d = (4/3)*v₁ * t (2)

Dividing (2) by (1) we get

1 = (4/3) *v₁*t/ 3*v₁

1 = (4/9)*t

t = 9/4 h

t = 2.25 h