Question

Велосипедист от дома до места работы едет со средней скоростью 10 км/ч, а обратно — со средней скоростью 15 км/ч, поскольку дорога идёт немного под уклон. Найдите среднюю скорость движения велосипедиста на всём пути от дома до места работы и обратно.

Answer 1

          
   $S=10t_{1}=15t_{2} \\ v_{srscor}=\frac{20t _{1} }{t+\frac{10t_{1}}{15}} = 12$ км/час 

Answer 2

12.5 км/ч я прибавила числа и разделила на количество чисел

Answer 3

Calculation of Average Speed

To find the average speed of the cyclist on the entire round trip from home to work and back, we can use the formula:

Average Speed = Total Distance / Total Time

Let's calculate the total distance and total time for the round trip.

The distance from home to work is the same as the distance from work to home, so we can consider it as a one-way distance.

Let's assume the one-way distance from home to work is D kilometers.

The cyclist travels from home to work at a speed of 10 km/h, so the time taken for this part of the trip is:

Time taken from home to work = D / 10 hours The cyclist travels from work to home at a speed of 15 km/h, so the time taken for this part of the trip is:

Time taken from work to home = D / 15 hours The total time for the round trip is the sum of the time taken from home to work and the time taken from work to home:

Total Time = Time taken from home to work + Time taken from work to home

Now, let's substitute the values and calculate the total time:

Total Time = (D / 10) + (D / 15) hours

The total distance for the round trip is twice the one-way distance:

Total Distance = 2D kilometers

Finally, we can calculate the average speed using the formula:

Average Speed = Total Distance / Total Time

Substituting the values, we get:

Average Speed = (2D) / [(D / 10) + (D / 15)] km/h

Simplifying the expression, we get:

Average Speed = (2D * 150) / (25D + 30D) km/h

Average Speed = 300D / 55D km/h

Average Speed = 300 / 55 km/h

Average Speed ≈ 5.45 km/h

Therefore, the average speed of the cyclist on the entire round trip from home to work and back is approximately 5.45 km/h.

Please note that the above calculation assumes a constant speed throughout the journey and does not take into account factors such as traffic, stops, or variations in terrain.

Let me know if there's anything else I can help you with!