Question:
A car travels from A to B at 60 km/h and returns at 40 km/h. What is the average speed for the entire journey?
A car travels from A to B at 60 km/h and returns at 40 km/h. What is the average speed for the entire journey?
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For average speed, use \( \frac{2 \cdot s_1 \cdot s_2}{s_1 + s_2} \) for equal distances.
Updated On: Jul 24, 2025
- 48 km/h
- 50 km/h
- 52 km/h
54 km/h
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The Correct Option is A
Solution and Explanation
Average speed = \( \frac{\text{Total distance}}{\text{Total time}} \).
Let distance AB = \( d \).
Time from A to B = \( \frac{d}{60} \), time from B to A = \( \frac{d}{40} \).
Total distance = \( 2d \), total time = \( \frac{d}{60} + \frac{d}{40} = \frac{2d + 3d}{120} = \frac{5d}{120} = \frac{d}{24} \).
Average speed = \( \frac{2d}{\frac{d}{24}} = 2 \times 24 = 48 \) km/h.
Thus, the answer is 48 km/h.
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