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One-third of total journey is covered at 20 km/hr, one-fifth at 15 km/hr and rest at 10 km/hr. The average speed of whole journey is -1. 300/23 km/hr2. 7 km/hr3. 150/23 km/hr4. 6.3 km/hr |
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Answer» Correct Answer - Option 1 : 300/23 km/hr Given: One-third of total journey is covered at 20 km/hr, one-fifth at 15 km/hr and rest at 10 km/hr. Concepts used: Time = Distance/Speed Average speed = (Total distance)/(Total time) Calculation: Let the total distance covered be x. Total distance = x/3 + x/5 + remaining distance ⇒ x = 8x/15 + remaining distance ⇒ Remaining distance = x – 8x/15 = 7x/15 Total time taken to cover the whole journey = (x/3)/20 + (x/5)/15 + (7x/15)/10 = 23x/300 Average speed = (Total distance)/(Total time) ⇒ x/(23x/300) km/hr ⇒ 300/23 km/hr ∴ Average speed for whole journey is 300/23 km/hr. |
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