From points A and B, the distance between which is 94 km, a pedestrian and a cyclist set off to meet

| August 12, 2021 | education

From points A and B, the distance between which is 94 km, a pedestrian and a cyclist set off to meet each other. pedestrian speed is 16 km / h less than cyclist speed. find the speed of each if it is known that they met after 4 hours and the pedestrian made a half-hour stop on the way

1. The speed of the pedestrian is taken as x. Cyclist speed (x + 16).

2. Until the meeting with the cyclist, the pedestrian walked 4 – 0.5 = 3.5 hours. (0.5 hour is the duration of the stop). The cyclist was in motion until he met a pedestrian for 4 hours.

3. Taking this into account, we compose the equation:

3.5x + 4 (x + 16) = 94;

3.5x + 4x + 64 = 94;

7.5x = 30;

x = 4 km / h (walking speed).

Cyclist speed 4 + 16 = 20 km / h.

Answer: pedestrian speed 4 km / h, cyclist 20 km / h.



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