Question

Решите задачу. От поселка до города, расстояние между которыми 36 км, велосипедист проехал за 3/2 часа, а мотоциклист-за 1/2 часа. На сколько километров в час скорость мотоциклиста больше скорости велосипедиста?

Answer 1

Найдём скорость велосипедиста

Формула нахождения скорости:

$\displaystyle\tt \: V = \frac{S}{t}$

$\displaystyle \tt \: V = 36 : \frac{3}{2} = 36 \cdot \frac{2}{3} = 24 \: km/h$

Найдём скорость мотоциклиста

$\displaystyle\tt V = 36: \frac{1}{2} = 36 \cdot2 = 72 \: km/h$

Разница в скорости:

72 - 24 = 48 км/ч

Ответ: на 48 км/ч

Answer 2

Problem Analysis

We are given that the distance between a village and a city is 36 km. The cyclist traveled this distance in 3/2 hours (1.5 hours), while the motorcyclist traveled the same distance in 1/2 hour (0.5 hours). We need to find the difference in speed between the motorcyclist and the cyclist in kilometers per hour.

Solution

To find the speed of each traveler, we can use the formula: speed = distance / time.

Let's calculate the speed of the cyclist and the motorcyclist separately.

Speed of the Cyclist

The cyclist traveled a distance of 36 km in 1.5 hours. Using the formula, we can calculate the speed of the cyclist as follows:

Speed of the Cyclist = Distance / Time = 36 km / 1.5 hours = 24 km/h.

Speed of the Motorcyclist

The motorcyclist traveled the same distance of 36 km in 0.5 hours. Using the formula, we can calculate the speed of the motorcyclist as follows:

Speed of the Motorcyclist = Distance / Time = 36 km / 0.5 hours = 72 km/h.

Difference in Speed

To find the difference in speed between the motorcyclist and the cyclist, we subtract the speed of the cyclist from the speed of the motorcyclist:

Difference in Speed = Speed of the Motorcyclist - Speed of the Cyclist = 72 km/h - 24 km/h = 48 km/h.

Therefore, the speed of the motorcyclist is 48 km/h faster than the speed of the cyclist.