Question

Велосипедист проехал расстояние между двумя пунктами за 6 ч. 30 мин. Если бы он ехал со скоростью 15 км/ч,то на этот же путь он затратил бы времени на 1 ч. 18 мин меньше. Какова была скорость велосипедиста? РЕШИТЬ С ПОМОЩЬЮ ДЕСЯТИЧНЫХ ДРОБЕЙ С ПОЯСНЕНИЯМИ) СПАСИБО!

Answer 1

6ч 30 мин=6 30/60=6 1/2 часа=6,5
1 час 18 мин=1 18/60=1 3/10 часа=1,3
Найдём расстояние:
1)6,5-1,3=5,2 часа затратил бы на путь, если скорость 15км/ч
2)5,2*15=78 км расстояние
3)78:6,5=12 км/ч
Ответ: 12 км/ч была скорость велосипедиста

Answer 2

Problem Analysis

We are given that a cyclist traveled a certain distance between two points in 6 hours and 30 minutes. We are also given that if the cyclist had traveled at a speed of 15 km/h, he would have taken 1 hour and 18 minutes less to cover the same distance. We need to find the cyclist's speed.

Let's denote the distance between the two points as d and the cyclist's speed as v.

Solution

To solve this problem, we can set up two equations based on the given information and solve them simultaneously.

1. The first equation relates the distance, speed, and time taken by the cyclist at an unknown speed v: - d = v * (6 + 30/60)

2. The second equation relates the distance, speed, and time taken by the cyclist at a speed of 15 km/h: - d = 15 * (6 - 1 + 18/60)

Let's solve these equations to find the value of v.

Calculation

1. Equation 1: d = v * (6 + 30/60) 2. Equation 2: d = 15 * (6 - 1 + 18/60)

Since both equations are equal to d, we can set them equal to each other:

v * (6 + 30/60) = 15 * (6 - 1 + 18/60)

Simplifying the equation:

v * (6.5) = 15 * (5.3)

Dividing both sides by 6.5:

v = (15 * 5.3) / 6.5

Evaluating the expression:

v ≈ 12.23 km/h

Therefore, the cyclist's speed was approximately 12.23 km/h.

Answer

The cyclist's speed was approximately 12.23 km/h.