Question

Машина за 3,5 часа проехала на 10 км больше, чем мотоциклист за 2.5 часа. Скорость мотоциклиста на 20 км/ч больше скорости машины. Найти скорость машины и мотоциклиста.

Answer 1

3.5*10=30.5
2.5*20=40.5
30.5+40.5=71 км ч в месте

Answer 2

Problem Analysis

We are given that a car traveled 10 km more than a motorcyclist in 3.5 hours, and the motorcyclist's speed is 20 km/h faster than the car's speed. We need to find the speeds of the car and the motorcyclist.

Solution

Let's assume the speed of the car is V km/h and the speed of the motorcyclist is V + 20 km/h.

We can use the formula distance = speed × time to set up two equations based on the given information.

For the car: distance = V × 3.5 (Equation 1)

For the motorcyclist: distance = (V + 20) × 2.5 (Equation 2)

We can solve this system of equations to find the values of V and V + 20.

Calculation

Let's solve the equations:

From Equation 1: distance = V × 3.5

From Equation 2: distance = (V + 20) × 2.5

Since the distances are equal, we can set the two equations equal to each other:

V × 3.5 = (V + 20) × 2.5

Simplifying the equation:

3.5V = 2.5V + 50

Subtracting 2.5V from both sides:

3.5V - 2.5V = 50

Simplifying further:

V = 50

Therefore, the speed of the car is 50 km/h.

Since the speed of the motorcyclist is 20 km/h faster, the speed of the motorcyclist is 50 + 20 = 70 km/h.

Answer

The speed of the car is 50 km/h and the speed of the motorcyclist is 70 km/h.