Question

Из посёлка в город ,расстояние между которыми 240км\ч, выехал мотоциклист.Сначала он ехал по просёлочной дороге 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 ч. - время движения по шоссе
30мин.= 30:60=0,5 ч.
(х+0,5)ч. - время движения по просёлочной дороге
60х+60(х+0,5)=240
120х=240-30
120х=210
х=210:120
х=1,75ч. -мотоциклист ехал п шоссе
1,75ч.=1 ³/₄ч.=60+(3·60)/4=60+45=105 мин.

Answer 2

Calculation of Time Spent on the Highway

To calculate the time the motorcyclist spent on the highway, we need to consider the following information:

- The distance between the village and the city is 240 km. - The motorcyclist initially traveled on a dirt road at a speed of 60 km/h. - The motorcyclist spent 30 minutes longer on the dirt road than on the highway.

Let's break down the problem step by step:

1. Calculate the time spent on the dirt road: - The speed on the dirt road is 60 km/h. - The formula to calculate time is: time = distance / speed. - The distance traveled on the dirt road is the same as the distance between the village and the city, which is 240 km. - Therefore, the time spent on the dirt road is: 240 km / 60 km/h = 4 hours.

2. Calculate the time spent on the highway: - The motorcyclist spent 30 minutes longer on the dirt road than on the highway. - Convert 30 minutes to hours: 30 minutes / 60 minutes/hour = 0.5 hours. - Subtract the additional time spent on the dirt road from the total time spent on the dirt road: 4 hours - 0.5 hours = 3.5 hours.

Therefore, the motorcyclist spent 3.5 hours on the highway.