Between two stations a train starting from rest first accelerates uniformly, then moves with con...

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Between two stations a train starting from rest first accelerates uniformly, then moves with constant velocity and finally retards uniformly to come to rest. If the ratio of the time taken be \( 1: 8: 1 \) and the maximum speed attained be \( 60 \mathrm{~km} / \mathrm{h} \), then what is the average speed over the whole journey?
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