Question

Из пункта А в пункт В одновременно выехали автомобилист и мотоциклист. Известно, что за час автомобилист проезжает на 30 км больше, чем мотоциклист. Определите скорость мотоциклиста, если известно, что он проезжает этот путь за 5 часов, а автомобилист за 3 часа. Заранее спасибо!

Answer 1

Пусть v - скорость мотоциклиста 
За час автомобилист проезжает больше на 30 км - значит, скорость больше на 30 км/ч
v+30 - скорость автомобилиста. 
Формула пути 
S=v•t
За 3 часа автомобилист проезжает такое же расстояние, какое проезжает мотоциклист за 5 часов.
 v•5=(v+30)•3⇒
2v=90
v=45 км/ч

Answer 2

Solution

To solve this problem, we can use the formula:

distance = speed × time

We know that the car travels 30 km more than the motorcycle in the same amount of time. Let's denote the speed of the motorcycle as x km/h. Then the speed of the car would be (x + 30) km/h.

Given that the motorcycle travels for 5 hours and the car travels for 3 hours, we can use these values to solve for the speed of the motorcycle.

Calculations

Using the formula distance = speed × time, we can set up the following equations:

For the motorcycle: distance = x × 5

For the car: distance = (x + 30) × 3

Solution Steps

1. Set up the equations for the distance traveled by the motorcycle and the car. 2. Solve for the speed of the motorcycle.

Equations

For the motorcycle: distance = x × 5

For the car: distance = (x + 30) × 3

Solving for the Speed of the Motorcycle

Using the given information, we can solve for the speed of the motorcycle:

distance = x × 5 distance = (x + 30) × 3

By equating the two distances, we can solve for the speed of the motorcycle:

x × 5 = (x + 30) × 3 5x = 3x + 90 2x = 90 x = 45

Conclusion

The speed of the motorcycle is 45 km/h.