# The cyclist traveled 33 km at a constant speed. How fast and how many hours did the cyclist ride?

December 29, 2020 | education

| To solve this problem, it is necessary to draw up equations for each of the questions. The general equation for finding the distance traveled is V * t = S, where V is speed, t is distance, S is distance. We know the distance – 33 km. Therefore, V * t = 33.

1) To find the speed, you need to transform the original equation.

V * t = S;

V = S / t; where S = 33 km.

V = 33 / t;

2) to find the time that the cyclist moved, we also transform the equation

V * t = S;

t = S / V; where S = 33 km.

t = 22 / V. substitute V.

t = 22 / (33 / t);

t ^ 2 = 22/33.

t = √ (2/3).

3) Substitute t.

V = 33 / √ (2/3).

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