A motorist travels to a place 150 km away at an average speed of 50 km/hr and returns at 30 km/hr. His average speed for the whole journey in km/hr is _______.
Question
A motorist travels to a place 150 km away at an average speed of 50 km/hr and returns at 30 km/hr. His average speed for the whole journey in km/hr is _______.
Solution
To find the average speed for the whole journey, we need to know the total distance traveled and the total time taken.
Step 1: Calculate the total distance The total distance traveled is 150 km (to the place) + 150 km (return) = 300 km.
Step 2: Calculate the total time taken The time taken to travel to the place is distance/speed = 150 km / 50 km/hr = 3 hours. The time taken to return is distance/speed = 150 km / 30 km/hr = 5 hours. So, the total time taken is 3 hours (to the place) + 5 hours (return) = 8 hours.
Step 3: Calculate the average speed The average speed is total distance / total time = 300 km / 8 hr = 37.5 km/hr.
So, the average speed for the whole journey is 37.5 km/hr.
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