Question

Из города в поселок растояние между ним 45км, выехал велосипедист.через 2 часа вслед за ним выехал друг на скуторе, скорость которого в3 раза больше, найти скорость велосипедиста, если в поселок прибыли одновременно.

Answer 1

Арпкарнкаранрарпарапрнроепнепперопорпрпнрп

Answer 2

Problem Analysis

We are given that the distance between a city and a village is 45 km. A cyclist leaves the city and after 2 hours, another person on a scooter leaves the city. The scooter's speed is 3 times greater than the cyclist's speed. We need to find the speed of the cyclist if they both arrive at the village at the same time.

Solution

Let's assume the speed of the cyclist is x km/h. Since the scooter's speed is 3 times greater, the speed of the scooter is 3x km/h.

We know that distance = speed × time.

The cyclist travels for 2 hours, so the distance traveled by the cyclist is 2x km.

The scooter travels for the same amount of time, so the distance traveled by the scooter is 2 × 3x = 6x km.

The total distance between the city and the village is 45 km. Since the cyclist and the scooter arrive at the village at the same time, the sum of their distances should be equal to the total distance.

Therefore, we can write the equation: 2x + 6x = 45.

Simplifying the equation, we get: 8x = 45.

To find the value of x, we divide both sides of the equation by 8: x = 45/8.

Now, let's calculate the value of x.

Calculation

x = 45/8 = 5.625 km/h

Answer

The speed of the cyclist is 5.625 km/h.

Note: The calculation assumes constant speed throughout the journey and does not take into account factors such as acceleration or deceleration.