Question

Задача: з двох міст між якими 190,4км одночасно в одному напрямку виїхали мотоцикліст та велосипедист, який їхав попереду. мотоцикліст наздогнав його за 4 години.Знайди швидкість велосипедиста ,якщо швидкість мотоцикліста 64,3

Answer 1

Ответ:

Пошаговое объяснение:

64.3*4＝257.2 км

257.2-190.4＝66.8 км

66.8/4 ＝16.7 км/год

Answer 2

Problem Analysis

We are given that a motorcyclist and a cyclist both started simultaneously from two cities that are 190.4 km apart. The motorcyclist caught up with the cyclist after 4 hours. We need to find the speed of the cyclist, given that the speed of the motorcyclist is 64.3 km/h.

Solution

Let's assume the speed of the cyclist is v km/h.

We know that distance = speed × time.

For the motorcyclist: Distance covered by the motorcyclist = 64.3 km/h × 4 hours = 257.2 km

Since the motorcyclist caught up with the cyclist, the distance covered by the cyclist is the total distance (190.4 km) minus the distance covered by the motorcyclist.

For the cyclist: Distance covered by the cyclist = 190.4 km - 257.2 km = -66.8 km

However, distance cannot be negative, so we need to adjust our assumption.

Since the motorcyclist caught up with the cyclist, it means that the cyclist traveled for 4 hours at a speed less than the motorcyclist's speed. Therefore, we can assume that the cyclist traveled at a speed greater than 64.3 km/h.

Let's assume the speed of the cyclist is v km/h, where v > 64.3 km/h.

For the cyclist: Distance covered by the cyclist = v km/h × 4 hours = 4v km

Since the motorcyclist caught up with the cyclist, the distance covered by the cyclist is equal to the distance covered by the motorcyclist.

Equating the distances covered by the cyclist and the motorcyclist: 4v km = 257.2 km

Solving for v: v = 257.2 km / 4 = 64.3 km/h

Answer

The speed of the cyclist is 64.3 km/h.

Explanation

The motorcyclist caught up with the cyclist after 4 hours of traveling. This means that the distance covered by the cyclist in 4 hours is equal to the distance covered by the motorcyclist in the same time. By equating the distances and solving for the speed of the cyclist, we find that the speed of the cyclist is 64.3 km/h, which is the same as the speed of the motorcyclist.