The distance between Aman’s house and the gym is 60 km. When travelling at ___ km/h, Aman reaches the gym at his usual time. However, when he reduces his speed to ___ km/h, he arrives 15 minutes late. The values given in which of the following options will fill the blanks in the same order to make the statement true?
I. 60 and 48
II. 30 and 25
III. 24 and 20

ATQ, For statement I: Usual time taken to reach the gym = 60/60 = 1 hour Time taken to reach the gym when travelling at 48 km/h and arriving 15 minutes late = 1 + 15/60 = 1 + 1/4 = 5/4 hours Distance travelled at 48 km/h in 5/4 hours = 48 × 5/4 = 60 km So, data in statement I is true. For statement II: Usual time taken = 60/30 = 2 hours Time taken at 25 km/h if 15 minutes late = 2 + 1/4 = 9/4 hours Distance at 25 km/h in 9/4 hours = 25 × 9/4 = 225/4 = 56.25 km ≠ 60 km So, statement II is false. For statement III: Usual time taken = 60/24 = 5/2 hours Time taken at 20 km/h if 15 minutes late = 5/2 + 1/4 = 11/4 hours Distance at 20 km/h in 11/4 hours = 20 × 11/4 = 55 km ≠ 60 km So, statement III is false. Therefore, only I is true.