Question

Велосипедист выехал из города в село сос скоростью 14 км/ч. Через 3 часа вслед за ним выехал мотоциклист, со скоростью 49 км/ч. Оба в село прибыли одновременно. Определите расстояние от города до села.

Answer 1

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Answer 2

Problem Analysis

We are given that a cyclist travels from a city to a village at a speed of 14 km/h, and after 3 hours, a motorcyclist follows him at a speed of 49 km/h. Both the cyclist and the motorcyclist arrive at the village at the same time. We need to determine the distance from the city to the village.

Solution

To solve this problem, we can use the formula: distance = speed × time.

Let's denote the distance from the city to the village as d (in km).

The cyclist traveled for 3 hours at a speed of 14 km/h, so the distance covered by the cyclist is 14 km/h × 3 h = 42 km.

The motorcyclist traveled the same distance as the cyclist, but at a speed of 49 km/h. Let's denote the time taken by the motorcyclist as t (in hours). Since both the cyclist and the motorcyclist arrived at the village at the same time, the time taken by the motorcyclist is the same as the time taken by the cyclist plus 3 hours. Therefore, t = 3 + 3 = 6 hours.

Using the formula distance = speed × time, we can calculate the distance from the city to the village covered by the motorcyclist: 49 km/h × 6 h = 294 km.

Since both the cyclist and the motorcyclist covered the same distance, we can equate the distances covered by them:

42 km = 294 km

Simplifying the equation, we find:

d = 294 km

Therefore, the distance from the city to the village is 294 km.

Answer

The distance from the city to the village is 294 km.