There are 25 trees at equal distances of 5 m in a line with the water tank a distance of the water tank from the nearest tree begin nm the gardener waters all the trees separately starting from the water tank and returning back to the water type of the watering mystery to get water for the next find the total distance covered by the gardener order to water all the trees
Answers
Given : There are 25 trees at equal distances of 5 m in a line ,starting from the water tank and returning back
To find : total distance covered by the gardener order to water all the trees
Solution:
going for 1st tree Distance covered = n + n = 2n m
going for 2nd tree Distance covered = n + 5 + 5 + n = 2n + 10 m
going for 3rd tree Distance covered = 2n + 20 m
going for 24th tree Distance covered = 2n + 10(23) m
going for 25th tree distance covered = n + 5(24) ( as not required to return)
Total Distance covered
= 2n + (2n + 10) + (2n + 20) + .......................................+ (2n + 230) + (n + 120)
= 2n(24) + 10(0 + 1 + 2 + .............................+ 23) + n + 120
= 48n + 10 (23)(24)/2 + n + 120
= 49n + 2760 + 120
= 49n + 2880 m
total distance covered by the gardener to water all the trees = 49n + 2880 m
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