A man goes for a walk everyday and the distance walked on each day is half the distance walked on th...........

Quantitative Aptitude ( CCS) Time & distance

A man goes for a walk everyday and the distance walked on each day is half the distance walked on the previous day. If he walked a distance of 2 km on the first day, what is the maximum total distance that he can walk even if he continues to walk throughout his life?

4 km

6 km

8 km

cannot be determined

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Explanation:

Ist day =2 Kms
2nd day=1
3rd day=1/2
and so on...
From day 2 till his entire life=(1+(1/2)+(1/4)+(1/8)+........) which makes an infinite series.
S=a/(1-r)
S=1/(1-(1/2))=2
Adding day 1 and his entire life=2+2=4
Hence, option 1 is the correct answer.