Question
A person needs to travel 300 km. If he covered the first
30% of the distance at a speed of 60 kmph, then 3/5th of the distance at a speed of 50 kmph, and the rest of the distance at a speed of 40 kmph, find the approximate average speed of the person throughout the journey.Solution
ATQ, Time for the first segment at 60 kmph = (300 × 0.30) / 60 = 1.5 hours Time for the second segment at 50 kmph = (300 × 3/5) / 50 = 3.6 hours Distance for the third segment = 300 - (300 × 0.30) - (300 × 3/5) = 300 - 90 - 180 = 30 km Time for the third segment at 40 kmph = 30 / 40 = 0.75 hours Average speed = 300 / (1.5 + 3.6 + 0.75) ≈ 47.06 kmph
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