Aman goes with a speed of 27 km/hr from Delhi to Agra and comes back to Delhi with a speed of 33 km/hr. Find the average speed of Aman during the whole journey.
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A.
29.7 km/hr
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B.
31.3 km/hr
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C.
28.9 km/hr
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D.
30.5 km/hr
Correct Answer:
A. 29.7 km/hr
Explanation:
To find the average speed for a round trip with different speeds for each leg, you use the harmonic mean formula: Average Speed = (2 * s1 * s2) / (s1 + s2). In this scenario, Aman travels at 27 km/hr (s1) and returns at 33 km/hr (s2). Plugging these values into the formula gives (2 * 27 * 33) / (27 + 33), which simplifies to 1782 / 60. This results in an average speed of 29.7 km/hr for the entire journey.
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