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

V₁-V₂ - скорость сближения (с ней мотоциклист догоняет велосипедиста)
(V₁-V₂)*3=S
V₁-V₂=S/3
V₂=V₁-S/3

Answer 2

Problem Analysis

We are given the following information: - The distance between points A and B is s km. - A motorcyclist travels at a speed of V1 km/h. - A cyclist travels 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 denote the time it takes for the motorcyclist to catch up to the cyclist as t hours.

Using the formula: distance = speed × time, we can express the distance traveled by each person in terms of their speed and time.

The distance traveled by the motorcyclist in t hours is V1 × t km.

The distance traveled by the cyclist in t hours is V2 × t km.

Given that the motorcyclist catches up to the cyclist after 3 hours, we have: - Distance traveled by the motorcyclist = Distance traveled by the cyclist - This can be expressed as: V1 × 3 = V2 × 3

We also know that the distance between points A and B is s km, which can be expressed as: s = V1 × 3 (since the motorcyclist travels at speed V1 for 3 hours).

Calculating V2

We can now express V2 in terms of s and V1 using the equation s = V1 × 3: - V2 × 3 = s - Therefore, V2 = s / 3

Conclusion

We have expressed V2 in terms of s and V1 as V2 = s / 3.