Question

За 8 мин. самолет, двигаясь с одинаковой скоростью, пролетел 96 км. Какое расстояние он пролетит за 40 мин, если его скорость увеличится на 2 км\мин?

Answer 1

96 км : 8 мин = 12 км/мин (скорость самолета)
12 км/мин + 2 км/мин = 14 км/мин (повышенная скорость)
14 км/мин * 40 мин = 560 км
Ответ: самолет пролетит 560 км

Answer 2

Problem Analysis

We are given that a plane traveled 96 km in 8 minutes at a constant speed. We need to find the distance it will travel in 40 minutes if its speed increases by 2 km/min.

Solution

To solve this problem, we can use the formula:

Distance = Speed × Time

Let's calculate the distance the plane will travel in 40 minutes.

Calculation

Given: - Initial distance = 96 km - Initial time = 8 minutes - Initial speed = unknown - Final time = 40 minutes - Speed increase = 2 km/min

To find the initial speed, we can use the formula:

Initial speed = Initial distance / Initial time

Substituting the given values:

Initial speed = 96 km / 8 min = 12 km/min

Now, we can calculate the final distance using the formula:

Final distance = (Initial speed + Speed increase) × Final time

Substituting the values:

Final distance = (12 km/min + 2 km/min) × 40 min = 14 km/min × 40 min = 560 km

Answer

The plane will travel a distance of 560 km in 40 minutes if its speed increases by 2 km/min.