Question

плииииз))) автобус обычно проходит свой маршрут от начальной до конечной остановки за 54 мин. Однако во время часа пик его скорость была на 10км.ч меньше, и через 45 мин. ему еще оставалось проехать 12км. Какова обычная скорость автобуса?

Answer 1

Скорость принимаем за х 
54 минуты - 9/10 часа = 0,9 часа 
45 минут - 3/4 часа = 0,75 часа 
9/10 x = 3/4 (x - 10) + 12 или 0,9 х = 0,75(х - 10) +12 
x =30 км/ч

Answer 2

Calculation of the Bus's Regular Speed

To find the regular speed of the bus, we can set up an equation based on the given information.

Let's assume that the regular speed of the bus is represented by x km/h.

According to the information provided, the bus usually completes its route from the starting stop to the final stop in 54 minutes. However, during rush hour, its speed is 10 km/h slower. After 45 minutes, the bus still has 12 km left to travel.

To solve for the regular speed of the bus, we can set up the following equation:

Regular speed * time = distance

Regular speed * 54 minutes = distance (regular speed) (x km/h) * (54/60 hours) = distance (regular speed)

Slower speed * time = distance (x - 10 km/h) * 45 minutes = 12 km (x - 10 km/h) * (45/60 hours) = 12 km

Now we can solve this system of equations to find the regular speed of the bus.

Let's start by converting the time in minutes to hours:

54 minutes = 54/60 hours = 0.9 hours 45 minutes = 45/60 hours = 0.75 hours

Now we can set up the equations