Question

В 8 часов утра из города А в город В вышел автобус со скоростью 56 км\ ч, а в 11 часов дня из В в А вышел грузовик со скоростью 32 км\ч. В какое время и на каком расстоянии от города А они встретились, если расстояние между городами 520 км ? Помогите прошу решите по действиям

Answer 1

11-8=3 часа ехал один автобус
56*3=168 км проехал автобус один
520-168=352 км осталось двум автобусам
56+32=88 км/ч скорость
352/88=4 ч встретятся

Answer 2

Problem Analysis

We are given that a bus leaves city A at 8:00 AM with a speed of 56 km/h, and a truck leaves city B at 11:00 AM with a speed of 32 km/h. The distance between the cities is 520 km. We need to determine the time and distance at which they meet.

Solution

To solve this problem, we can use the formula: distance = speed × time.

Let's assume that the time it takes for the bus and the truck to meet is t hours.

The distance traveled by the bus in t hours is given by: distance_bus = speed_bus × t.

The distance traveled by the truck in t hours is given by: distance_truck = speed_truck × t.

Since the total distance between the cities is 520 km, we can write the equation: distance_bus + distance_truck = 520.

Substituting the expressions for distance_bus and distance_truck, we get: speed_bus × t + speed_truck × t = 520.

We can now solve this equation to find the value of t.

Let's calculate the time and distance at which they meet.

Calculation

Given: - Speed of the bus = 56 km/h - Speed of the truck = 32 km/h - Total distance between the cities = 520 km

Let's solve the equation speed_bus × t + speed_truck × t = 520 for t:

56t + 32t = 520

88t = 520

t = 520 / 88

t ≈ 5.91 hours

Therefore, the bus and the truck will meet approximately 5.91 hours after they start their journeys.

To find the distance at which they meet, we can substitute the value of t into either the distance traveled by the bus or the truck.

Let's calculate the distance traveled by the bus:

distance_bus = speed_bus × t

distance_bus = 56 km/h × 5.91 hours

distance_bus ≈ 331.96 km

Therefore, the bus and the truck will meet at a distance of approximately 331.96 km from city A.

Answer

The bus and the truck will meet approximately 5.91 hours after they start their journeys, at a distance of approximately 331.96 km from city A.