The distance between two points is covered by a cyclist in 3 hours, and a pedestrian in 12 hours. How long will it take for them

The distance between two points is covered by a cyclist in 3 hours, and a pedestrian in 12 hours. How long will it take for them to meet if they go simultaneously from these points to meet each other?

Let S be the distance between two points.

Then the cyclist’s speed is:

V1 = S / t1 = S / 3 km / h.

The transition speed is:

V2 = S / t2 = S / 12 km / h.

The speed of convergence of a cyclist and a pedestrian is:

V = V1 + V2 = (S / 3) + (S / 12) = S * (5/12) km / h.

Let’s determine the time after which the pedestrian and the cyclist will meet.

t = S / V = S / (5 * S / 12) = S * (12/5 * S) = 12/5 = 2.4 hours = 2 hours 24 minutes.

Answer: The cyclist and the pedestrian will meet in 2 hours and 24 minutes.