Question

Автобус ехал из города в поселок со скоростью 60 км час а обратно 1.6 раза быстрее на весь путь он потратил10 часов сколько времени автобус потратил из города в поселок Пусть х часов автобус потратил на путь из города в поселок варианты ответов а)96х=(10-х)*60 б 60х=(10-х)*60 В)60Х=(10 - х)*96 как правильно написать

Answer 1

Ответ В

1)60*1.6=96

2)10-x- время которое затратил на путь из поселка в город

3) так как расстояние между городом и поселком, поселком и городом одинаковое, то составим уравнение:

60x=96(10-x)

Answer 2

V из города в поселок  = 60  км/ч  ,  t = х          =>            S =  60 х

V из поселка в город  =  60*1.6 = 96 км/ч ,  t = 10 - х   =>   S =  96(10 - х)

 

т.к.  туда и обратно он проехал одинаковое расстояние, то

                60 х  =  96(10 - х)

 

ВЕРНО  В)

Answer 3

Solving the Problem

To solve the problem, we can use the given information to set up an equation and solve for the time the bus spent traveling from the city to the village.

Let's denote the time the bus spent traveling from the city to the village as x hours.

The speed of the bus from the city to the village is 60 km/h, and the speed of the bus from the village to the city is 1.6 times faster, which is 60 * 1.6 = 96 km/h.

The total time taken for the entire journey is 10 hours.

We can set up the equation based on the given information and solve for x.

The equation is: x + (10 - x) = 10

Solving for x: x + 10 - x = 10 10 = 10

This equation does not provide a valid solution, and there seems to be a mistake in the given options for the answer. The correct equation should be: x/60 + (10 - x)/96 = 10

Solving for x: x/60 + (10 - x)/96 = 10 Multiplying by 60*96 to clear the denominators: 96x + 60(10 - x) = 10*60*96 96x + 600 - 60x = 57600 36x + 600 = 57600 36x = 57000 x = 57000 / 36 x = 1583.33

So, the bus spent approximately 1583.33 hours traveling from the city to the village.

Therefore, none of the provided options are correct, and the correct equation and solution are as shown above.

If you have any further questions or need additional assistance, feel free to ask!