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There is  a race , in which, every participant starts from a bucket, picks up the nearest ball and runs back to drop it in the bucket. Then again, he or she runs back to nearest ball and runs back to drop it in the bucket. Each participant continues like this in the same way until all the balls are in the bucket.

The balls are kept at a distance of 4 m from each other and there are 8 balls in all.  How much distance does each participant needs to travel in order to finish the race?

Asked by Topperlearning User 26th July 2017, 1:37 PM
Answered by Expert

Distance travelled by the participant in order to pick up the first ball and drop it in the bucket= 4 + 4 = 8 m

Distance travelled by the participant to pick up the second ball and drop it in basket = 4 + 4 + 4 + 4 = 16 m

Similarly, distance travelled by competitor to pick up third, fourth, fifth, sixth, seventh, and eighth balls are 24 m, 32 m, 40 m, 48 m, 56 m, 64 m



a = 8 m

common difference  = d = 8m




So, each participant has to cover a distance of 288 m in order to complete the race

Answered by Expert 26th July 2017, 3:37 PM
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