Two pedestrians came out at the same time towards each other from two villages.
Two pedestrians came out at the same time towards each other from two villages. The first can cover the distance between two villages in 8 hours, and the second in 6 hours. How far will they approach in 1 hour?
1. Let’s find what part of the distance each pedestrian can cover in 1 hour.
2. The first pedestrian goes all the way in 8 hours, which means that in 1 hour he will cover 1/8 of the way.
3. The second pedestrian goes all the way in 6 hours, which means that in 1 hour he will cover 1/6 of the way.
4. Pedestrians are moving towards each other, which means that in an hour the distance between them will be reduced by (1/8 + 1/6) part of the path.
5. Find the sum of two fractions by bringing them to a common denominator. LCM of numbers 8 and 6 is 24. We get:
1/8 + 1/6 = 3/24 + 4/24 = 7/24, i.e. in 1 hour, pedestrians will converge on 7/24 paths.
Answer: in 1 hour, pedestrians will approach 7/24 distances.
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