Question

В 8 часов расстояние между 2 катерами, плывущими навстречу друг к другу, было 250 км. Скорости катеров 25 км/ч и 35 км/ч . Встретятся ли они до 12 часов того же дня? Через сколько времени произойдёт встреча? (Ответ вырази сначало в часах, а затем в часах и минутах.)

Answer 1

1)25+35=60км/ч—скорость сближения катеров

2)12-8=4ч—будут двигаться катера друг другу навстречу

3)60*4=240км; 240<250—нет, не встретятся, останется 10км

4)10÷60=1/6; 1/6 часа—10минут

Ответ: 4,1часа; 4часа 10минут

Answer 2

Problem Analysis

We are given the distance between two boats, their speeds, and we need to determine if they will meet before 12:00 PM and calculate the time it will take for them to meet.

Solution

To solve this problem, we can use the formula: time = distance / relative speed. We will calculate the time it takes for the boats to meet and check if it is before 12:00 PM.

Let's calculate the time it takes for the boats to meet:

1. Calculate the relative speed of the boats: relative speed = speed of boat A + speed of boat B. 2. Calculate the time it takes for the boats to meet: time = distance / relative speed.

If the calculated time is less than 4 hours (12:00 PM), the boats will meet before 12:00 PM. Otherwise, they will not meet before 12:00 PM.

Let's calculate the time it takes for the boats to meet:

1. Distance between the boats: 250 km. 2. Speed of boat A: 25 km/h. 3. Speed of boat B: 35 km/h.

Calculation

1. Relative speed: 25 km/h + 35 km/h = 60 km/h. 2. Time to meet: 250 km / 60 km/h = 4.17 hours.

Since the calculated time is greater than 4 hours, the boats will not meet before 12:00 PM.

Answer

The boats will not meet before 12:00 PM. The meeting will occur after 12:00 PM.

The time it takes for the boats to meet is approximately 4 hours and 10 minutes.