Question

В 12 ч 20 минут от пристани отошла моторная лодка. В 16 ч 20 минут в том же направлении отчалил теплоход. Сможет ли теплоход догнать моторную лодку, если ее скорость 15 км/ч, а скорость теплохода 30 км/ч? через какое время теплоход догонит моторную лодку?

Answer 1

Догонит через 4 часа

Answer 2

16ч20мин - 12ч20мин=4 часа разница
4*15=60км расстояние между катером и теплоходом в 16ч20мин
.30-15=15км/ч это скорость сближения
60/15=4часа

 ОТВЕТ: ДА, СМОЖЕТ; ЗА 4ЧАСА

Answer 3

Problem Analysis

To solve this problem, we need to calculate whether the steamboat can catch up with the motorboat and, if so, how long it will take. We are given the speed of the motorboat (15 km/h) and the speed of the steamboat (30 km/h).

Calculating the Catch-up Time

To calculate the time it takes for the steamboat to catch up with the motorboat, we can use the formula: Time = Distance / Relative Speed

The distance covered by the motorboat in the time it takes for the steamboat to catch up is the same as the distance covered by the steamboat. Therefore, we can equate the two distances and solve for time.

Solution

Given: - Speed of the motorboat = 15 km/h - Speed of the steamboat = 30 km/h

Let's calculate the time it takes for the steamboat to catch up with the motorboat.

Time Calculation

The time it takes for the steamboat to catch up with the motorboat can be calculated using the formula: Time = Distance / Relative Speed

The relative speed is the difference in speed between the two boats.

Relative Speed = Speed of the steamboat - Speed of the motorboat = 30 km/h - 15 km/h = 15 km/h

Now, we can calculate the time it takes for the steamboat to catch up with the motorboat: Time = Distance / Relative Speed

Since the distance covered by both boats is the same, we can equate the distances covered by the motorboat and the steamboat and solve for time.

Let's calculate the time.