Question

Автомашина , двигаясь со скоростью 75 км/ч вместо запланированных 60 км/ч , затратила на весь путь на 1 час времени меньше. Сколько километров состовляет пройденное расстояние?

Answer 1

Х-время пройденное со скоростью 60км/ч
(х-1)-время за 75км/ч

1) 75*(х-1)=60*х
75х-75=60х
75х-60х=75
15х=75
х=5(часов);

2) х-1=5-1=4(часа);

3) 75×4=300(км)-расстояния за 4 часа со скоростью 75км/ч.

Ответ: 300км

Answer 2

Problem Analysis

We are given that a car, traveling at a speed of 75 km/h instead of the planned 60 km/h, took 1 hour less to complete the journey. We need to determine the distance traveled.

Solution

Let's assume the distance traveled is represented by d km.

We can use the formula time = distance / speed to create two equations based on the given information:

Equation 1: d / 75 = t (where t is the time taken at a speed of 75 km/h)

Equation 2: d / 60 = t + 1 (where t + 1 is the time taken at a speed of 60 km/h)

To solve for d, we can set Equation 1 equal to Equation 2 and solve for d:

d / 75 = d / 60 + 1

Multiplying both sides of the equation by 75 * 60 to eliminate the denominators:

60d = 75d + 75 * 60

Simplifying the equation:

15d = 75 * 60

Dividing both sides of the equation by 15:

d = 75 * 60 / 15

Calculating the value of d:

d = 300 km

Therefore, the distance traveled is 300 km.

Answer

The car has traveled a distance of 300 km.