A man walks on a straight road from his home to a market 2.5 km away with a speed of 5 km/h. Finding the market closed, he instantly turns and walks back home with a speed of 7.5 km/h. If the total time of travel is 40 min find the average speed of the man for the whole journey.
Question
A man walks on a straight road from his home to a market 2.5 km away with a speed of 5 km/h. Finding the market closed, he instantly turns and walks back home with a speed of 7.5 km/h. If the total time of travel is 40 min find the average speed of the man for the whole journey.
Solution
Step 1: Convert the total time of travel from minutes to hours.
40 minutes = 40/60 = 0.67 hours
Step 2: Calculate the total distance covered by the man.
He walked to the market and back home, so the total distance is 2.5 km + 2.5 km = 5 km
Step 3: Calculate the average speed.
Average speed = Total distance / Total time
Average speed = 5 km / 0.67 hours = 7.46 km/h
So, the average speed of the man for the whole journey is approximately 7.46 km/h.
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