In a potato race, 20 potatoes are placed in a line of intervals of 4 meters with the first potato 24 meters from the starting point. A contestant is required to bring the potatoes back to the starting place one at a time. How far would he run in bringing back all the potatoes?
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Hey......
Given, total number of potatoes = 20.
First potato 24 metres from the starting point.
There are 4 meters in the intervals.
A contestant is required to bring the potatoes back to the starting place one at a time. So for the first potato he has to travel 48 meters, for second 56 meters ...
48,56,64...........20 terms.
a = 48, d= 8, n = 20.
Sum of n terms in A.P = Sn=n2[2a+(n−1)d]
S20=202[2×48+(20−1)8]
S20=202[96+152]
S20=10×248=2480
∴ 2480 meters he run in bringing back all the potatoes.
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