From two points A and B, the distance between which is 2 km, a pedestrian and a cyclist set off simultaneously
From two points A and B, the distance between which is 2 km, a pedestrian and a cyclist set off simultaneously in the same direction. After 48 minutes, the distance between them became equal to 10 km. Find what the distance between them will be in 2 hours if it is known that the distance between them has been increasing all the time.
1. Determine how many kilometers the distance between a pedestrian and a cyclist has increased 48 minutes after the start of the movement:
10 – 2 = 8 km;
2. Determine how many kilometers per hour the distance between a pedestrian and a cyclist increased:
8 km: 48 minutes = 8 km: 48/60 hours = 8 x 60/48 = 10 hours
3. Determine how many kilometers the distance between a pedestrian and a cyclist will increase in 2 hours:
2 x 10 = 20 km;
4. Determine the distance between a pedestrian and a cyclist in 2 hours:
20 + 2 = 22 km.
Answer: 2 hours after the start of the movement, the distance between the cyclist and the pedestrian will be 22 kilometers.