A person X from a place A and another person Y from a place B set out at the same time to walk towards each other. The places are separated by a distance of 15 km. X walks with a uniform speed of 1.5 km/hr and Y walks with a uniform speed of 1 km/hr in the first hour, with a uniform speed of 1.25 km/hr in the second hour and with a uniform speed of 1.5 km/hr in the third hour and so on.
1. They take 5 hours to meet.
2. They meet midway between A and B.
Which of the following is/are correct?
A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
Correct Answer: Option C
Explanation
To solve this elegantly, we avoid complex quadratic equations and instead use the **Simulation Strategy** [46] [53] by checking the situation hour-by-hour. The goal is to see if they cover exactly 15 km in 5 hours.
**Step 1: An