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There are 25 trees at equal distances of...

There are 25 trees at equal distances of 5 metres n a line with a well, the distance of the well from the nearest tree being 10 metres. A gardener waters all the trees separately starting from the well, and he returns to the well after watering each tree to get water for the next. Find the total distance the gardener will cover in order to water all the trees.

Text Solution

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The correct Answer is:
3500 m
Total distance covered
`= [(2 xx 10) + 2 xx (10 +5 xx 1) +2 xx (10 +5 xx 2) +… + 2 xx (10 +5 xx 24)]m`
` = 2 xx [10 + 15 +20 +….+ 130]m = 2 xx (25)/(2) (10+ 130)m = 3500m.`
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