In a potato race 20 potatoes are placed in a line at intervals of 4 m with the first potato 24 m 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?

Question

In a potato race 20 potatoes are placed in a line at intervals of 4 m with the first potato 24 m 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?,

MARKS App · Accepted Answer

$ Given situation can be shown be following diagram im g src = " h ttp s : // c d n − q u es t i o n − p oo l . g e t ma r k s . a pp / m o d u l es / c b se / h p Y Zl H VhVbhV g b z v HD b w J e J ZE d S c 8 D x 5 f K GQQ s PM o B k . or i g ina l . f u ll s i ze . p n g " > b r > D i s t an ce t r a v e ll e d b y t h eco n t es t an tt o b r in g f i rs tp o t a t o =24+24=48 m D i s t an ce t r a v e ll e d b y t h eco n t es t an tt o b r in g seco n d p o t a t o =2(24+4)=56 m D i s t an ce t r a v e ll e d b y t h eco n t es t an tt o b r in g t hi r d p o t a t o = 2 ( 24 + 4 + 4 ) = 64 m T h e n , t h eser i es b eco m es : 48,56,64, \ldots Whi c hi s an A P . Wh ere , a=48 , d=56-48=8 an d n=20 R e q u i re dd i s t an ce i se q u a lt o t h es u m o f 20 t er m so f t hi sser i es . ​ ∴ S 20 ​ = 2 20 ​ [ 2 × 48 + 19 × 8 ] = 10 [ 96 + 152 ] = 10 × 248 = 2480 m ​ $

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