Let's assume the total journey is represented by the distance 'd' in kilometers. According to the given information, the man travels the first half of the journey at a rate of 27 km/hr and the second half at a rate of 35 km/hr.
Let's break down the journey into two halves:
First Half: Distance covered in the first half = (d/2) km Speed in the first half = 27 km/hr Time taken to cover the first half = Distance/Speed = (d/2) / 27 = d/54 hours
Second Half: Distance covered in the second half = (d/2) km Speed in the second half = 35 km/hr Time taken to cover the second half = Distance/Speed = (d/2) / 35 = d/70 hours
The total time taken for the journey is given as 11.5 hours.
Total time = Time for the first half + Time for the second half 11.5 = d/54 + d/70
To solve this equation, we need to find a common denominator for 54 and 70, which is 3780.
11.5 * 3780 = 70d + 54d 41430 = 124d d = 41430 / 124 d ≈ 334.35
Therefore, the total journey is approximately 334.35 kilometers.