From point B to point M, the distance between which a pedestrian came out was 5 km. After 45 minutes

From point B to point M, the distance between which a pedestrian came out was 5 km. After 45 minutes, a cyclist followed him, whose speed is 3 times higher than that of a pedestrian. Find the speed of the pedestrian if you arrived at point M at the same time.

Let’s denote the speed of the pedestrian by x km / h. The speed of the cyclist, according to the condition, is 3 times higher and amounts to 3 km / h. The path that they covered is 5 km, we write down the time of movement of each:
5 / x hours – pedestrian time;
5/3 hours – cyclist time.
Since the cyclist was on the road 45 minutes less, we can create the equation:
5 / x – 5 / 3x = 3/4
60 – 20 = 9x
9x = 40
x = 4.44444 ≈ 4.4 (km / h).
The answer was not round, perhaps there is a typo in the problem statement.
Answer: pedestrian speed 4.4 km / h.



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