Question

Из посёлка в город, расстояние между которыми 240 км, выехал мотоциклист. Сначала он ехал по просёлочной дороге со скоростью 40 км/ч, а затем по щоссе со скоростью 60км/ч. Сколько минут мотоциклист ехал по шоссе, если по просёлочной дороге он ехал на 30 минут дольше, чем по шоссе?

Answer 1

Х - часов ехал по шоссе
40(х+0,5)+60х=240
40х+20+60х=240
100х=240-20
х=220/100=2,2 часа - ехал по шоссе
2,2*60=132 мин мотоциклист ехал по шоссе

Answer 2

Problem Analysis

A motorcyclist travels from a village to a city, a distance of 240 km. The motorcyclist initially travels on a dirt road at a speed of 40 km/h and then switches to a highway, where they travel at a speed of 60 km/h. The question asks how many minutes the motorcyclist traveled on the highway if they traveled on the dirt road for 30 minutes longer than on the highway.

Solution

To solve this problem, we need to find the time it takes for the motorcyclist to travel on the dirt road and the time it takes for them to travel on the highway. We can then calculate the difference in time between the two.

Let's start by calculating the time it takes for the motorcyclist to travel on the dirt road.

Calculation

The formula to calculate time is:

Time = Distance / Speed

For the dirt road: - Distance = 240 km - Speed = 40 km/h

Using the formula, we can calculate the time it takes for the motorcyclist to travel on the dirt road:

Time on dirt road = 240 km / 40 km/h = 6 hours

Since the motorcyclist traveled on the dirt road for 30 minutes longer than on the highway, we need to convert the time on the dirt road to minutes:

Time on dirt road = 6 hours * 60 minutes/hour = 360 minutes

Now, let's calculate the time it takes for the motorcyclist to travel on the highway.

For the highway: - Distance = 240 km - Speed = 60 km/h

Using the formula, we can calculate the time it takes for the motorcyclist to travel on the highway:

Time on highway = 240 km / 60 km/h = 4 hours

Now, we can calculate the difference in time between the two:

Difference in time = Time on dirt road - Time on highway = 360 minutes - 240 minutes = 120 minutes

Therefore, the motorcyclist traveled on the highway for 120 minutes.

Answer

The motorcyclist traveled on the highway for 120 minutes.

Explanation

The motorcyclist traveled on the dirt road for 6 hours, which is equivalent to 360 minutes. They traveled on the highway for 4 hours, which is equivalent to 240 minutes. The difference between the two is 120 minutes.