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In a potato race, a bucket is placed at the starting point, which is 5m from the first potato, and the other potatoes are placed 3m apart in a straight line. There are ten potatoes in the line (fig.).
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A competitor starts from the bucket, picks up the nearest potato, runs back with it, drops it in the bucket, runs back to pick up the nest potato, runs to the bucket to drop it in, and she continues in the same way until all the potatoes are in the bucket. What is the total distance the competitor has to run ? [Hint : To pick up the first potato and the second potato, the total distance (in metres) run by a competitor is `2 xx 5 + 2 xx (5 + 3)`]

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Correct Answer - 370m
Total distance run to pick up the 1st, 2nd, 3rd,.., 10th potato
`= [(2 xx 5) + 2 (5+3) +2 xx (5+3 xx 2) +.. +2 xx (5 +3 xx 9)]m`
` = 2 xx [5 + 8 +11 +… +32]m = 2 xx (10)/(2) (+32)m = 370m.`

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