Mohit starts moving from a place A and reaches the place B in 12 hours. He covers $$\frac{1}{5^{th}}$$ part of the total distance at the speed of 6 km/hr and covers the remaining distance at the speed of 8 km/hr. What is the distance between A and B?

Let the total distance be x km
Given, Total time taken to reach x km = 12 hours
Speed for $$\dfrac{x}{5}$$ km = 6 km/hr
Time taken to travel $$\dfrac{x}{5}$$ km = $$\dfrac{x}{5\times6} = \dfrac{x}{30}$$ hours
Speed for remaining $$\dfrac{4x}{5}$$ km = 8 km/hr
Time taken to travel $$\dfrac{4x}{5}$$ km = $$\dfrac{4x}{5\times8} = \dfrac{x}{10}$$ hours
Total time = $$\dfrac{x}{30}+\dfrac{x}{10} = \dfrac{4x}{30}$$ hours
Given, $$\dfrac{4x}{30} = 12$$ => x = 90
Therefore, Total distance = 90 km