# The cyclist whose speed is 12 km / h, moves in pursuit of the pedestrian whose speed is 4 km / h

The cyclist whose speed is 12 km / h, moves in pursuit of the pedestrian whose speed is 4 km / h, the distance between them is 16 km, after what time the cyclist will catch up with the pedestrian.

Let’s find the speed of convergence of a cyclist and a pedestrian.

12 – 4 = 8 (km / h) speed of convergence of a cyclist and a pedestrian.

Let’s calculate how long it takes for a cyclist to catch up with a pedestrian.

16 ÷ 8 = 2 (hours) after so many hours the cyclist will catch up with the pedestrian.

Verification:

Let’s calculate the distance at which a cyclist and a pedestrian will be in 2 hours, knowing that the distance between them was 16 kilometers.

12 x 2 = 4 x 2 + 16

24 = 24 (km)

The solution was found correctly.

Answer: in 2 hours the cyclist will catch up with the pedestrian.

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