Question

Из пунктов a и b, расстояние между которыми s км, одновременно выезжают в пункт C мотоциклист со скоростью V1 км/ч и велосипедист со скоростью V2 км/ч. Через 3 часа мотоциклист догнал велосипедиста. Выразите V2 через S и V1

Answer 1

Расстояние, пройденное велосипедистом за три часа: 3*V2,

Расстояние, пройденное мотоциклистом за три часа: 3*V1 или  S + 3V2,

т.е. 3*V1 =S+3*V2, отсюда V2=(3*V1 - S) / 3

Answer 2

Problem Analysis

We are given two points, A and B, which are s kilometers apart. A motorcyclist travels from point A to point C at a speed of V1 km/h, and a cyclist travels from point B to point C at a speed of V2 km/h. After 3 hours, the motorcyclist catches up to the cyclist. We need to express V2 in terms of S and V1.

Solution

Let's assume that the distance traveled by the motorcyclist in 3 hours is D1, and the distance traveled by the cyclist in 3 hours is D2. Since the motorcyclist catches up to the cyclist, D1 must be equal to D2.

The distance traveled by the motorcyclist in 3 hours can be calculated using the formula: D1 = V1 * 3.

The distance traveled by the cyclist in 3 hours can be calculated using the formula: D2 = V2 * 3.

Since D1 = D2, we can equate the two expressions:

V1 * 3 = V2 * 3.

Now, let's solve for V2:

V2 = (V1 * 3) / 3.

Simplifying the equation, we get:

V2 = V1.

Therefore, V2 can be expressed in terms of S and V1 as V2 = V1.

Answer

The speed of the cyclist, V2, can be expressed in terms of S and V1 as V2 = V1.