A person travels from one place to another at 180 km/h and returns to the starting point by the same route at 240 km/h. If the total time taken is 6 h, then find the distance between two places.

Correct option is D

Given:
Speed while going = 180 km/h
Speed while returning = 240 km/h
Total time taken = 6 h
Distance between two places = ?
Formula Used:
Time = Distance / Speed
Solution:
Let the distance between the two places be D km.
​$$\frac{D}{180} + \frac{D}{240} = 6\\\ \\\quad \Rightarrow \quad \frac{4D}{720} + \frac{3D}{720} = 6 \\\ \\\quad \Rightarrow \quad \frac{7D}{720} = 6\\\ \\\quad \Rightarrow \quad D = \frac{6 \times 720}{7} = \frac{4320}{7} \approx 617.14 \ \text{km}\\\ \\$$​​
Distance between the two places = 617.14 km (approx.)