A man travels some distance from his house to the exhibition ground by an auto at a speed of 30 km/h and returns by a cab at a speed of 50 km/h. What is his average speed (in km/h)?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 37.5.
Let the distance between the house and the exhibition ground be 'd' km.
Time taken to go to the exhibition ground = d/30 hours Time taken to return from the exhibition ground = d/50 hours
Total time taken = d/30 + d/50 = 8d/150 hours
Total distance traveled = d + d = 2d km
Average speed = Total distance / Total time = (2d) / (8d/150) = 37.5 km/h
Therefore, the average speed is 37.5 km/h.