Question

"Расстояние от A до B ровно 110 км ч . На путь из пункта A в пункт B автомобиль затратил 1 целую 2/3 ч , а на обратный путь - на 10 мин больше . Определите скорость автомобиля в каждом направлении"помогите пожалуйста плиз

Answer 1

Путь/время=скорость
110/(1 2/3)=66 км/ч

1 2/3=1 час 40 минут
1 час 40 минут +10 минут=1 час 50 минут= 1 5/6

110/1 5/6=60 км/ч
 

Answer 2

2/3ч = (60*2)/3=40 мин., значит на путь туда автомобиль затратил 1ч40мин, а на путь обратно 1ч40мин+10мин=1ч50мин
Представим 50 мин в виде простой дроби: 50/60=5/6, значит на путь обратно автомобиль затратил 1 5/6ч.
V=S/t
V на пути АВ:
110/(1 2/3)=110/(5/3)=(110*3)/5=22*3=66 км/ч

V на пути ВА:
110/(1 5/6)=110/(11/6)=(110*6)/11=10*6=60 км/ч

Ответ: 66 км/ч и 60 км/ч

Answer 3

Problem Analysis

We are given that the distance from point A to point B is 110 km. The car took 1 hour and 2/3 (or 5/3) hours to travel from point A to point B, and 10 minutes longer to travel back from point B to point A. We need to determine the speed of the car in each direction.

Solution

Let's assume the speed of the car from point A to point B is x km/h, and the speed of the car from point B to point A is y km/h.

To find the speed of the car in each direction, we can use the formula:

Speed = Distance / Time

# Speed from A to B

The car took 1 hour and 2/3 (or 5/3) hours to travel from point A to point B. Therefore, the speed from A to B can be calculated as:

x = 110 km / (5/3) hours

Simplifying the expression:

x = 110 km * (3/5) hours

x = 66 km/h

# Speed from B to A

The car took 10 minutes longer to travel back from point B to point A. Since 1 hour is equal to 60 minutes, 10 minutes is equal to 10/60 (or 1/6) hours. Therefore, the time taken to travel from B to A is 1 hour and 2/3 (or 5/3) hours plus 1/6 hours.

Time from B to A = (5/3) hours + (1/6) hours

Simplifying the expression:

Time from B to A = (10/6) hours + (1/6) hours

Time from B to A = (11/6) hours

Using the formula for speed:

y = 110 km / (11/6) hours

Simplifying the expression:

y = 110 km * (6/11) hours

y = 60 km/h

Answer

Therefore, the speed of the car from point A to point B is 66 km/h, and the speed of the car from point B to point A is 60 km/h.