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Tanveer const...

Question

Tanveer constructs a wall working in a special way and takes 12 days to complete it. If $S_{n}$ is the length of the wall (in m) that he constructs on the nth day, then
$S_{n} = 2 n, 0 \leq n \leq 4 S_{n} = 8, f o r n = 5 S_{n} = 3 n - 7, 6 \leq n \leq 12$
Find the total length of the wall he constructs in the first 10 days.

31 m

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35 m

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113 m

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Solution

The correct option is C 113 m
Let us make a table of the units of work everyday:
$\begin{matrix} D a y & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 L e n g t h & 2 & 4 & 6 & 8 & 8 & 11 & 14 & 17 & 20 & 23 \end{matrix}$
Total length = 113 m

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Tanveer constructs a wall working in a special way and takes 12 days to complete it. If Sn is the length of the wall (in m) that he constructs on the nth day, then Sn=2n,0≤n≤4Sn=8, for n=5Sn=3n−7,6≤n≤12 Find the total length of the wall he constructs in the first 10 days.

The correct option is C 113 mLet us make a table of the units of work everyday: Day12345678910Length246881114172023 Total length = 113 m

The correct option is C 113 m
Let us make a table of the units of work everyday:
$\begin{matrix} D a y & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 L e n g t h & 2 & 4 & 6 & 8 & 8 & 11 & 14 & 17 & 20 & 23 \end{matrix}$
Total length = 113 m