Shyam went from Delhi to Simla via Chandigarh by car. The distance from Delhi to Chandigarh is 3/4 times the distance from Chandigarh to Simla. The average speed from Delhi to Chandigarh was half as much again as that from Chandigarh to Simla. If the average speed for the entire journey was 49 kmph, what was the average speed from Chandigarh to Simla?

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Kiran Rindani

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Delhi ---------------- Chandigarh ---------------- shimla Distance 3x/4 km x km Speed 3y/2 kmph y kmph Time (3x/4)/(3y/2) hrs...
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Delhi ---------------- Chandigarh ---------------- shimla Distance 3x/4 km x km Speed 3y/2 kmph y kmph Time (3x/4)/(3y/2) hrs = 3x/2y hrs x/y hrs average speed = (total distance)/(total time) 49 = (x + 3x/4)/(x/2y + x/y) = (7x/4)/(3x/2y) = 7y/6 49 = 7y/6 --- y = 42 kmph --- (ANS) read less
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