Question
Anamika travels a distance of 900 km at a constant
speed. However, when she increases her speed by 10 km/hr, she completes the journey 3 hours faster. Can you determine her original speed?Solution
Let the original speed = x km/h 900/x – 900/(x + 10) = 3 900(x + 10) – 900x = 3x(x + 10) 900x + 9000 – 900x = 3x2 + 30x 3x2 + 30x – 9000 = 0 x2 + 10x – 3000 = 0 x2 + 60x – 50x – 3000 = 0 x(x + 60) – 50(x + 60) = 0 (x + 60)(x – 50) = 0 x = -60, 50 Original speed = 50 km/h
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