Question
Aman has to travel a distance of 240 km. He travels the
first 25% of the distance at a speed of 50 kmph, the next two-fifths at a speed of 48 kmph, and the remaining distance at a speed of 35 kmph. Determine the approximate average speed of Aman throughout the entire journey.Solution
ATQ, Time for which the Aman travelled with the speed of 50 kmph = {(240 × 0.25)/50} = 1.2 hours Time for which the Aman travelled with the speed of 48 kmph = (240 × 2/5)/48 = 2 hours Distance travelled at the speed of 35 kmph = 240 – 240 × 0.25 – 240 × 2/5 = 240 – 60 – 96 = 84 km Time for which the Aman travelled with the speed of 35 kmph = 84/35 = 2.4 hours Average speed = {240/(1.2 + 2 + 2.4)} = 42.86 kmph
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