Question

Два велосипедиста находились на расстоянии 21,3 км друг от друга. они выехали одновременно навстречу друг другу и встретились через 0,6 часа. Найти скорость каждого велосипедиста, если скорость одного из них составляет 150% скорости другого.

Answer 1

х--скорость одно
1,5х--скорость др.

0,6х + 0,6 *1,5х=21,3
1,5х=21.3
х= 14,2---скорость одного
21. 3--скорость др.

Answer 2

х- скорость одного

1,5х- скорость второго

х+1,5х=21,3/0,6

2,5х= 35,5

х=35,5/2,5

х= 14,2

14,2 км\ч- скорость одного

14,2*1,5= 21,3 км/ч- скорость второго

 

Answer 3

Problem Analysis

Two cyclists are traveling towards each other from a distance of 21.3 km and meet after 0.6 hours. We need to find the speed of each cyclist, given that one cyclist's speed is 150% of the other.

Solution

Let's denote the speed of the first cyclist as x km/h and the speed of the second cyclist as 1.5x km/h.

The total distance traveled by both cyclists is 21.3 km, and they meet after 0.6 hours. We can use the formula: \[ \text{distance} = \text{speed} \times \text{time} \]

Calculations

The distance traveled by the first cyclist is \( x \times 0.6 \) km, and the distance traveled by the second cyclist is \( 1.5x \times 0.6 \) km.

According to the problem, the sum of these distances is 21.3 km: \[ x \times 0.6 + 1.5x \times 0.6 = 21.3 \]

Solving for x will give us the speed of the first cyclist, and then we can find the speed of the second cyclist.

Solution Steps

1. Set up the equation using the given information. 2. Solve for the speed of the first cyclist. 3. Calculate the speed of the second cyclist.

Calculation

\[ x \times 0.6 + 1.5x \times 0.6 = 21.3 \]

Solving for x: \[ 0.6x + 0.9x = 21.3 \] \[ 1.5x = 21.3 \] \[ x = \frac{21.3}{1.5} \] \[ x = 14.2 \]

The speed of the first cyclist, x, is 14.2 km/h. The speed of the second cyclist, 1.5x, is \( 1.5 \times 14.2 = 21.3 \) km/h.

Answer

The speed of the first cyclist is 14.2 km/h, and the speed of the second cyclist is 21.3 km/h.