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a man travelled from Hyderabad to Bangalore he travelled first hundred kilometres in 2 hours and next 150 km in 4 hours and the remaining 200 km in 6 hours. find the average speed? |
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Answer» Answer:Step-by-step explanation:Let the total DISTANCE be X.Time = Distance / speedDistance covered at 80 km/h is := 1/3xTime TAKEN = 1/3x × 1/80 = 1/240xDistance covered by 60 km/h is := 1/4xTime = 1/4x × 1/60 = 1/240xDistance covered at 100km/h is := 1/6xTime taken = 1/6x × 1/100 = 1/600xDistance covered at 50km/h is :1 - (1/4 + 1/3 + 1/6) = 1/4xTime = 1/4x × 1/50 = 1/200xTotal time taken is :1/240x + 1/240x + 1/600x + 1/200x = 3/200xAverage speed = Total distance / Total timeThis is given by :x ÷ 3/200x= x × 200/3x = 200/3= 66.67 km/h |
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