Aman completes a journey in 11 h. He travels first half of the journey at the speed of 25 km/h and the second half at the speed of 30 km/h. Find the total distance of the journey.

Correct option is A

Given:
Total time = 11 hours
Speed during the first half = 25 km/h
Speed during the second half = 30 km/h
Formula Used:
Let the total distance be D km. We calculate the time taken for each half of the journey:
Time = Distance / Speed
Solution:
Let the total distance of the journey be D km.
For the first half of the journey (D/2), speed = 25 km/h:
Time taken for the first half = (D/2) / 25 = D/50 hours
For the second half of the journey (D/2), speed = 30 km/h:
Time taken for the second half = (D/2) / 30 = D/60 hours
Total time taken = Time for the first half + Time for the second half
11 = D/50 + D/60
11 = (6D + 5D) / 300
11 = 11D / 300
D = (11 × 300) / 11
D = 300 km
Therefore, the total distance of the journey is 300 km.