Question

Велосипедист проехал 18 км с определенной скоростью,а оставшиеся 6 км со скоростью на 6 км/ч меньше первоначальной. найдите скорость велосипедиста на втором участке пути если на весь путь он запретил 1,5 часа

Answer 1

Решение на фото)))))))))))))))))))))))))))))))))))

Answer 2

Calculation of the Cyclist's Speed on the Second Leg of the Journey

To find the speed of the cyclist on the second leg of the journey, we can use the formula:

Speed = Distance / Time

Let's break down the information given in the question:

- The cyclist traveled 18 km with a certain speed. - The remaining distance of 6 km was covered at a speed that was 6 km/h slower than the initial speed. - The total time for the entire journey was 1.5 hours.

To solve this problem, we need to find the speed of the cyclist on the first leg of the journey and then calculate the speed on the second leg.

Let's assume the speed on the first leg is v km/h.

On the first leg: - Distance = 18 km - Speed = v km/h - Time = Distance / Speed = 18 km / v km/h = 18/v hours

On the second leg: - Distance = 6 km - Speed = v - 6 km/h (since it is 6 km/h slower than the initial speed) - Time = Distance / Speed = 6 km / (v - 6) km/h = 6/(v - 6) hours

The total time for the journey is given as 1.5 hours, so we can set up the equation:

18/v + 6/(v - 6) = 1.5

To solve this equation, we can multiply through by v(v - 6) to eliminate the denominators:

18(v - 6) + 6v = 1.5v(v - 6)

Simplifying the equation:

18v - 108 + 6v = 1.5v^2 - 9v

Combining like terms:

24v - 108 = 1.5v^2 - 9v

Rearranging the equation:

1.5v^2 - 33v + 108 = 0

Now we can solve this quadratic equation to find the value of v.