Two ladies simultaneously leave cities A and B connected by a straight road and travel towards each other. The first lady travels 2 km/hr faster than the second lady and reaches B one hour before the second lady reaches A. The two cities A and B are 24 km apart. How many kilometres does each lady travel in one hour?

To find the correct answer, we use the distance of 24 km and the given conditions. Let the speed of the second lady be x km per hour. Therefore, the speed of the first lady is x plus 2 km per hour. According to the question, the first lady reaches city B one hour faster than the second lady reaches city A. We can set up a time equation: Time taken by the second lady minus Time taken by the first lady equals 1 hour. Using the formula Time equals Distance divided by Speed, the equation is 24 divided by x minus 24 divided by x plus 2 equals 1. By testing the options: If we choose Option C, the speeds are 8 km per hour and 6 km per hour. The first lady takes 24 divided by 8, which is 3 hours. The second lady takes 24 divided by 6, which is 4 hours. The difference between their times is 4 minus 3, which equals 1 hour. Since 8 is 2 km per hour faster than 6, and the time difference is exactly 1 hour, Option C satisfies all conditions of the problem.