Question

ДАЮ 30 БАЛОВ!!! З одного міста в друге виїхали велосипедист і мотоцикліст. Знайдіть швидкість кожного якщо швидкість мотоцикліста на 8 км за годину більша за швидкість велосипедиста. на весь шлях велосипедист витратив на 8 годин більше, ніж легковий, відстань між містами 153 км​

Answer 1

Ответ:

10км/ч--скорость

велосипедиста.

80км/ч--скорость мотоциклиста

Answer 2

Finding the Speed of the Cyclist and Motorcyclist

To find the speeds of the cyclist and the motorcyclist, we can use the given information about their relative speeds and the time taken by each to cover the distance between the two cities.

Let's denote: - Speed of the cyclist as x km/h - Speed of the motorcyclist as x + 8 km/h (since the motorcyclist's speed is 8 km/h faster than the cyclist's speed) - Time taken by the cyclist as t hours - Time taken by the motorcyclist as t - 8 hours (since the cyclist took 8 hours longer than the motorcyclist)

Using the Distance Formula

We know that distance = speed × time. Given that the distance between the two cities is 153 km, we can set up the following equations:

1. For the cyclist: - Distance = Speed × Time - 153 = x * t [[1]]

2. For the motorcyclist: - Distance = Speed × Time - 153 = (x + 8) * (t - 8) [[2]]

Solving the Equations

We can solve the system of equations to find the values of x and t.

From equation [[1]]: t = 153 / x

Substitute t in equation [[2]]: 153 = (x + 8) * (153 / x - 8)

Solving this equation will give us the value of x.

Let's calculate the values to find the speeds of the cyclist and the motorcyclist.