A runner covers 20m in the first second. Every second thereafter he
covers 3/4 of the distance covered in the previous second How much
distance does he run in first 4 seconds ? give your answer to three decimal places
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Answer :
- 54.68m distance he run in first 4 seconds
Given :
- A runner covers 20m in the first second.
- Every second thereafter he covers 3/4 of the distance covered in the previous second
To find :
- How much distance does he run in first 4 seconds
Solution :
Given,A runner covers 20m in the first second. Every second thereafter he covers 3/4 of the distance covered in the previous second so,
》A runner covers distance in first second = 20m
》 A runner covers distance in second second = 20 × 3/4 = 15m
》A runner covers distance in third second = 15 × 3/4 = 45/4m
》A runner covers distance in fourth second = 45/4 × 3/4 = 135/16 m
And also Given that he covers total distance in four seconds so,
》20 + 15 + 45/4 + 135/16 m
》320 + 240 + 180 + 135 / 16
》875/16
》54.68 m
Hence, 54.68m distance he run in first 4 seconds
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