6) A man travels from A to B at a speed of 30 kmph and returns with a speed of 60 kmph. What is the average speed of the man?
Question
- A man travels from A to B at a speed of 30 kmph and returns with a speed of 60 kmph. What is the average speed of the man?
Solution
Step 1: Understand the problem The man travels from point A to B at a speed of 30 kmph and returns from B to A at a speed of 60 kmph. We need to find the average speed for the entire journey.
Step 2: Recall the formula for average speed The formula for average speed is Total Distance / Total Time.
Step 3: Apply the formula In this case, the total distance travelled is 2D (D from A to B and D from B to A).
The time taken to travel from A to B is D/30 and the time taken to travel from B to A is D/60.
So, the total time = D/30 + D/60 = D(1/30 + 1/60) = D/20.
Therefore, the average speed = Total Distance / Total Time = 2D / (D/20) = 40 kmph.
So, the average speed of the man is 40 kmph.
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