Question

Туристы ехали на автомобиле со скоростью 75 км/ч,а затем на автобусе со скоростью 60 км/ч,причём на автобусе они ехали на 2 часа дольше,чем на автомобиле. Всего они проехали 405 км. Сколько времени они были в пути?Решить уравнением Заранее спасибо

Answer 1

Пишем уравнение для пути по формуле S=V*t.
S = 75*T + 60*(T+2) = 405 км
135*T = 405 - 120 = 285 км
T = 285/135 = 2 1/9 - первая часть пути
Время в пути 
2 * 2 1/9 + 2 = 6 2/9 ч - ОТВЕТ

Answer 2

Problem Analysis

To solve this problem, we need to find the total time taken by the tourists during their journey. They traveled by car at a speed of 75 km/h and then by bus at a speed of 60 km/h. The bus journey took 2 hours longer than the car journey. The total distance traveled was 405 km.

Solution

Let's assume the time taken for the car journey is t hours. Since the speed of the car is 75 km/h, the distance covered by the car is 75t km.

The time taken for the bus journey is t + 2 hours. Since the speed of the bus is 60 km/h, the distance covered by the bus is 60(t + 2) km.

The total distance traveled is the sum of the distances covered by the car and the bus, which is 405 km:

75t + 60(t + 2) = 405

Now we can solve this equation to find the value of t.

Solving the Equation

Let's solve the equation step by step:

75t + 60(t + 2) = 405

Simplifying the equation:

75t + 60t + 120 = 405

Combining like terms:

135t + 120 = 405

Subtracting 120 from both sides:

135t = 285

Dividing both sides by 135:

t = 285 / 135

Simplifying the fraction:

t = 2.1111...

Rounding to the nearest whole number:

t ≈ 2

Answer

The tourists spent approximately 2 hours on the car journey.

To find the total time taken for the entire journey, we add the additional 2 hours spent on the bus journey:

Total time = Car journey time + Bus journey time Total time = 2 hours + 2 hours Total time = 4 hours

Therefore, the tourists were on the road for approximately 4 hours in total.

Please note that the solution provided is an approximation, as rounding was done in the calculation.