Question

Помогите пожалуйста Мотоциклист догоняет велосипедиста. Сейчас между ними 23,4 км. Скорость велосипедиста 13, 5 км/ч. Найдите скорость мотоциклиста, если известно, что мотоциклист догонит велосипедиста через 2/3 часа.

Answer 1

Problem Analysis

We are given the following information: - The distance between the motorcyclist and the cyclist is 23.4 km. - The speed of the cyclist is 13.5 km/h. - The motorcyclist will catch up to the cyclist in 2/3 hours.

We need to find the speed of the motorcyclist.

Calculation

To find the speed of the motorcyclist, we can use the formula:

Speed = Distance / Time

Let's calculate the time it will take for the motorcyclist to catch up to the cyclist:

Time = 2/3 hours

Now, let's substitute the values into the formula:

Speed of the motorcyclist = Distance / Time

Speed of the motorcyclist = 23.4 km / (2/3) hours

To simplify the calculation, let's convert 2/3 hours to minutes:

2/3 hours = (2/3) * 60 minutes = 40 minutes

Now, let's substitute the values again:

Speed of the motorcyclist = 23.4 km / 40 minutes

To convert the time from minutes to hours, we divide it by 60:

Speed of the motorcyclist = 23.4 km / (40/60) hours

Simplifying further:

Speed of the motorcyclist = 23.4 km / (2/3) hours

Speed of the motorcyclist = 23.4 km / 0.6667 hours

Speed of the motorcyclist ≈ 35.1 km/h

Therefore, the speed of the motorcyclist is approximately 35.1 km/h.

Answer

The speed of the motorcyclist is approximately 35.1 km/h.