Question

расстояние от станицы до железнодорожной станции равно 60 км. мотоциклист выехал из станицы на 1и1/4 (одну целую одну четвертую или 1,25ч) позже велосипедист и прибыл на станцию, когда велосипедист был от нее в 21 км. Найдите скорость велосипедиста, если она была на 18 км\ч меньше скорости мотоциклиста.прошу написать условие (таблицей) и решение

Answer 1

 

60/х=(60-21)/(х-18)+1,25 
х-скорость велосипедиста  

Answer 2

Problem Statement:

Given: - Distance from the village to the railway station = 60 km - The motorcyclist started from the village 1 1/4 hours (1.25 hours) later than the cyclist. - When the cyclist arrived at the station, he was 21 km away from it. - The speed of the cyclist is 18 km/h less than the speed of the motorcyclist.

We need to find the speed of the cyclist.

Solution:

Let's denote the speed of the motorcyclist as M km/h and the speed of the cyclist as C km/h.

We know that the distance traveled by both the motorcyclist and the cyclist is the same, which is 60 km.

We can set up the following equation based on the given information:

Distance traveled by the motorcyclist = Distance traveled by the cyclist

Using the formula Distance = Speed × Time, we can write:

M × (t + 1.25) = C × t + 21

where: - t is the time taken by the cyclist to reach the station in hours.

We also know that the speed of the cyclist is 18 km/h less than the speed of the motorcyclist:

C = M - 18

Now, we can substitute the value of C in the equation:

M × (t + 1.25) = (M - 18) × t + 21

Simplifying the equation:

M × t + 1.25M = M × t - 18t + 21

Subtracting M × t from both sides:

1.25M = -18t + 21

Subtracting 21 from both sides:

1.25M - 21 = -18t

Dividing both sides by -18:

t = (1.25M - 21) / -18

Now, we can substitute the value of t in the equation C = M - 18 to find the speed of the cyclist.

Let's solve this equation step by step.

1. Substitute the value of t in the equation C = M - 18:

C = M - 18

C = M - 18 = (1.25M - 21) / -18 - 18

2. Simplify the equation:

C = (1.25M - 21) / -18 - 18

3. Multiply both sides by -18 to eliminate the fraction:

-18C = 1.25M - 21 - 18 * 18

4. Simplify the equation:

-18C = 1.25M - 21 - 324

-18C = 1.25M - 345

5. Rearrange the equation to isolate C:

C = (1.25M - 345) / -18

Therefore, the speed of the cyclist is (1.25M - 345) / -18 km/h.

Please note that the solution provided above is based on the given information and the assumptions made.