Two pedestrians left the same place at the same time in opposite directions, after 0.8 hours

| January 30, 2021 | education

Two pedestrians left the same place at the same time in opposite directions, after 0.8 hours the distance between them became equal to 6.8 km, the speed of one pedestrian was 1.5 times the speed of the other, find the speed of each pedestrian.

First pedestrian speed x km per hour.

Therefore, the speed of the second pedestrian will be equal to 1.5 km / h.

Moving in opposite directions, they move away from each other by (x + 1.5x) km.

This means that in 0.8 hours pedestrians will disperse at a distance of 0.8 * (x + 1.5x) km.

Since we know the distance, let’s make an equation and find the speed of the first pedestrian.

0.8 * (x + 1.5x) = 6.8;

0.8x + 1.2x = 6.8;

2x = 6.8;

x = 6.8 / 2;

x = 3.4 km per hour.

Therefore, the speed of the second pedestrian is.

3.4 * 1.5 = 5.1 km per hour.

Answer: The speed of the first pedestrian is 3.4 km per hour, the second 5.1 km per hour.



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