Question
A traveler needs to cover 220 km, with the first 15% at
40 kmph, 3/4 of the distance at 45 kmph, and the rest at 30 kmph. Find the average speed over the entire trip.Solution
ATQ, Time for the first segment at 40 kmph = (220 × 0.15) / 40 = 0.825 hours Time for the second segment at 45 kmph = (220 × 3/4) / 45 = 3.67 hours Distance for the third segment = 220 - (220 × 0.15) - (220 × 3/4) = 220 - 33 - 165 = 22 km Time for the third segment at 30 kmph = 22 / 30 = 0.73 hours Average speed = 220 / (0.825 + 3.67 + 0.73) ≈ 48.89 kmph
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