Aman travels a distance of 48 km from Agra to Bhopal with a speed of 4 km/hr and also travels a distance of 54 km from Bhopal to Chennai with a speed of 6 km/hr. Find the average speed of the whole journey?
Aman travels a distance of 48 km from Agra to Bhopal with a speed of 4 km/hr and also travels a distance of 54 km from Bhopal to Chennai with a speed of 6 km/hr. Find the average speed of the whole journey? Correct Answer 102/21 km/hr
Given:
Distance between Agra to Bhopal is 48 km with a speed of 4 km/hr.
Distance between Bhopal to Chennai is 54 km with a speed of 6 km/hr
Formula:
Average Speed = (Total Distance/Total Time)
Time = Distance/Speed
Calculation:
Total Distance to cover Agra to Bhopal and Bhopal to Chennai = 48 + 54 = 102 km
Time taken from Agra to Bhopal,
Time = 48/4 = 12 hrs
Time taken from Bhopal to Chennai,
Time = 54/6 = 9 hrs
Total Time = 12 + 9 = 21 hrs
Average Speed = (Total Distance/Total Time)
Average Speed = 102/21 km/hr
∴ The average speed of whole journey is 102/21 km/hr.