The distance between points A and B is 966 km.
The distance between points A and B is 966 km. Kamlesh travels from A to B at a speed of 52 km/hr and returns at a speed of 118 km/hr. Calculate Kamlesh’s average speed for the entire journey (round off the answer to two decimal places).
बिंदु A और B के बीच की दूरी 966 km है। कमलेश A से B 52 km/h की चाल से यात्रा करता है और 118 km/h की चाल से संपूर्ण यात्रा के लिए कमलेश की औसत चाल ज्ञात कीजिए।(उत्तर को दो दशमलव स्थानों तक पूर्णांकित कीजिए)
Detailed Solution & Logic
72.19 km/hr
Problem: Distance between A and B is 966 km. Kamlesh goes from A to B at 52 km/hr and returns at 118 km/hr. Find the average speed.
Step 1: Use the formula for average speed in a round trip
If the distance is the same in both directions, average speed = $ \frac{2 \cdot v_1 \cdot v_2}{v_1 + v_2} $
Here, $v_1 = 52$ km/hr, $v_2 = 118$ km/hr.
Step 2: Substitute values
Average speed = $ \frac{2 \cdot 52 \cdot 118}{52 + 118} $
Numerator: $ 2 \cdot 52 \cdot 118 = 12272 $
Denominator: $ 52 + 118 = 170 $
Divide: $ \frac{12272}{170} \approx 72.19 $ km/hr
Answer: $72.19$ km/hr
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