Question

Расстояние 60 км Петя проехал на велосипеде на 1 ч быстрее Васи Найдите их скорости, если скорость Пети на 3 км/ч больше.​

Answer 1

Пусть скорость Васи $x$ км/ч, а Пети тогда $(x+3)$ км/ч.

$\frac{60}{x}$ - потратил Вася (часов)

$\frac{60}{x+3}$ - потратил петя (часов)

$\frac{60}{x}-\frac{60}{x+3}=1$

$x^{2}+3x-180=0$

$D=b^{2}-4ac=3^{2}-4*1*(-180)=729$

$x=\frac{-b-\sqrt{D} }{2a} =\frac{-3-27}{2} =\frac{-30}{2}=-15$

$x=\frac{-b-\sqrt{D} }{2a} =\frac{-3+27}{2} =\frac{24}{2}=12$

Ответ: 12 км/ч.

Answer 2

Let's assume Vasya's speed is V km/h.

Then, Petia's speed would be V + 3 km/h, as it is 3 km/h faster than Vasya's speed.

We know that Petia rode for 1 hour longer than Vasya to cover the distance of 60 km.

The formula to calculate the distance is:

Distance = Speed × Time

For Vasya: Distance = V × Time

For Petia: Distance = (V + 3) × (Time + 1)

Since both covered the same distance (60 km):

V × Time = (V + 3) × (Time + 1)

Now, let's solve for Vasya's speed (V):

V × Time = V × Time + 3 × Time + V + 3

Subtract V × Time from both sides:

0 = 3 × Time + V + 3

Subtract 3 from both sides:

V = -3 × Time

Now, since we know that speed cannot be negative, we need to check the values of Time that make V positive.

Given that Time > 0 and V > 0:

V = -3 × Time > 0

This means that Time should be negative, which is not possible. Thus, there is no positive solution for this problem.

There might be a mistake in the question or the information provided. Please double-check the values or the problem statement.