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?

Answer 1

6.30 - 390 мин
1 час 18 мин =78 мин
390 - 78= 312 мин
390 : 78=5 км /ч
15+5=20 км/ч 
Ответ:Скорость велосипедиста была 20 км/ч

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 speed of the cyclist.

Solution

Let's assume the distance between the two points is d km and the speed of the cyclist is v km/h.

We are given that the cyclist traveled the distance in 6 hours and 30 minutes, which is equivalent to 6.5 hours. Therefore, we can write the equation:

d = v * 6.5 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. Therefore, the time taken at a speed of 15 km/h would be 6.5 - 1.3 = 5.2 hours. Using this information, we can write the equation:

d = 15 * 5.2 Now, we can solve these two equations simultaneously to find the value of v.

Calculation

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

From equation d = v * 6.5

From equation d = 15 * 5.2

Since both equations are equal to d, we can equate them: v * 6.5 = 15 * 5.2

Simplifying the equation: v = (15 * 5.2) / 6.5

Calculating the value of v: v = 12

Answer

The speed of the cyclist is 12 km/h.

Note: The calculations are based on the given information and assumptions.