Question

Велосепедист выехал с постоянной скоростью из города А в город В, расстояние между которыми 45км. На следующий день он отправился обратно в А со скоростью 34км/ч большк прежней.По дороге он сделал остановку на 45 мин. В результате велосипидист затратил на обратный путь столько же времени,сколько на путь столько же времени,сколько на пути из В в А. ответ дайте в км/ч.

Answer 1

х-скорость велосипедиста из А в В

х+34 - скорость из В в А

45мин=0,75ч

45/х=(45/х+34) + 0,75, общий знаменатель х(х+34)

45х+1530=45х+0,75х2+25,5х

0,15х2+5,1х-306=0

х=31,26(км/ч) - скорость велосипедиста

 

 

Answer 2

Problem Analysis

A cyclist travels from city A to city B at a constant speed. The distance between the two cities is 45 km. On the next day, the cyclist returns from city B to city A at a speed 34 km/h faster than the previous day. During the return trip, the cyclist makes a 45-minute stop. The question is to determine the speed of the cyclist in km/h.

Solution

Let's assume the cyclist's speed on the first day is x km/h. On the second day, the cyclist's speed is x + 34 km/h.

To find the time taken for the return trip, we need to consider the time taken for the forward trip and the 45-minute stop. Since the distance is the same for both trips, the time taken for the return trip is equal to the time taken for the forward trip plus the 45-minute stop.

Let's calculate the time taken for the forward trip first. The formula to calculate time is:

Time = Distance / Speed

For the forward trip: Time taken = Distance / Speed = 45 km / x km/h

Now, let's calculate the time taken for the return trip. Since the cyclist makes a 45-minute stop, the total time taken for the return trip is:

Time taken for return trip = Time taken for forward trip + 45 minutes

To convert 45 minutes to hours, we divide by 60:

Time taken for return trip = Time taken for forward trip + (45 minutes / 60)

Now, we can equate the time taken for the return trip to the time taken for the forward trip:

Time taken for return trip = Time taken for forward trip

Substituting the values:

Time taken for forward trip + (45 minutes / 60) = 45 km / (x + 34) km/h

Simplifying the equation:

45 / x + (45 / 60) = 45 / (x + 34)

To solve for x, we can cross-multiply:

45(x + 34) = (45 / 60) * x

Simplifying further:

45x + 45 * 34 = (45 / 60) * x

Converting 45 minutes to hours:

45x + 45 * 34 = (45 / 60) * x

45x + 45 * 34 = (45 / 60) * x

Multiplying both sides by 60 to remove the fraction:

45x + 45 * 34 * 60 = 45 * x

Simplifying:

45x + 45 * 34 * 60 = 45 * x

45x + 45 * 34 * 60 = 45 * x

Subtracting 45x from both sides:

45 * 34 * 60 = 45 * x - 45 * x

Simplifying:

45 * 34 * 60 = 0

This equation is not possible, as it leads to a contradiction. Therefore, there is no solution for the given problem.

Conclusion: There is no solution for the given problem. The equation derived from the problem leads to a contradiction.