A man starts going for morning walk every day . The distance walked by him on the first day was 2 km . Everyday he walks half of the distance walked on the previous day . What can be the maximum total distance walked by him in his lifetime ?

Options

A. 4 km
B. 20 km
C. 8 km
D. Data inadequate

Answer

A

Explanation

Distance walked by man
`= 2 + 1 + (1)/(2) + (1)/(4) + (1)/(8) + (1)/(16) …. oo`
The above series is in infinity GP .
`s_(prop) = (2)/(1 - (1)/(2)) = 4 `km