Question

the students of a school decided to beautify the school on Annual Day by fixing colourful flags on the straight passage of the school they have 27 flags to be fixed at intervals of every 2 metre the flags are stored the position of the middle most flag Ruchi was given the responsibility of placing the flags Ruchi kept her books were the flags was stored she could carry only one flag at a time how much distance did she cover in completing this job and returning back to collect their books what is the maximum distance travelled carrying a flag..
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Answer 1

$\large \dag$ Question :-

The students of a school decided to beautify the school on Annual Day by fixing colourful flags on the straight passage of the school. They have 27 flags to be fixed at intervals of every 2 metre. The flags are stored the position of the middle most flag. Ruchi was given the responsibility of placing the flags. Ruchi kept her books were the flags was stored she could carry only one flag at a time. How much distance did she cover in completing this job and returning back to collect their books ? what is the maximum distance travelled carrying a flag ?

.

$\large \dag$ Answer :-

$\red\dashrightarrow\underline{\underline{\sf \green{Total \: Distance \: is \: 728 \: meter }} }$

$\red\dashrightarrow\underline{\underline{\sf \green{Maximum \: Distance \: is \: 52 \: meter }} }$

$\large \dag$ Step by step Explanation :-

As Total Number of flags = 26 ,

so middle most flag is $\sf=\dfrac{27 + 1}{2} = 14th$

Therefore its side of the middle flag 13 flags are to be placed as shown in figure.

Also distance between two consecutive flags = 2 m

Note : The process of placing one flag is going to place to its postion and returning back to middle flag.

Now,

Distance covered for Flag 1 = 2 + 2 = 4 m

Distance covered by Flag 2 = 4 + 4 = 8 m

Distance covered for Flag 3 = 6 + 6 = 12 m

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Distance covered for Flag 13 = 26 + 26 = 52 m

Total distance covered to place these 13 flags is ;

4 + 8 + 12 + . . . . . . . . . . . + 52.

Let,

Total distance covered to place these 13 flags be $\sf = S_n$

Therefore,

$\sf S_n =4 + 8 + 12 + . \: . \: . \: . \: . \: . + 52$

which is an Arithmetic Series with

• First Term = a = 4

• Common difference = d = 4

• Last term = $\large \sf a_n$ = 52

• No. of terms = n = 13

Applying formula of sum of an Arithmetic Series ;

$\\ :\longmapsto \rm S_n = \frac{n}{2} \bigg(a + a_n \bigg)$

$:\longmapsto \rm S_n = \frac{13}{2} \bigg( 4 + 52\bigg)$

$:\longmapsto \rm S_n = \frac{13}{2} \times 56$

$:\longmapsto \rm S_n = 364 \: m$

Similarly she will place flag 1' , flag 2' , flag 3' . . . . . flag 13' and will cover a distance of 364 m.

Therefore,

Total distance travelled = 364 × 2 = 728 m.

Now for maximum distance travelled we will calculate distance travelled by the two place flag 13 or flag 13'.

As to place flag 13 aur flag 13' she covers 52 meter as calculated above.

Therefore,

Maximum distance travelled = 52 m.

Answer 2

Answer:

Step-by-step explanation:

given :

• the students of a school decided to beautify the school on Annual Day by fixing colourful flags on the straight passage of the school they have 27 flags to be fixed at intervals of every 2 metre the flags are stored the position of the middle most flag Ruchi was given the responsibility of placing the flags Ruchi kept her books were the flags was stored she could carry only one flag at a time how much distance did she cover in completing this job and returning back to collect their books what is the maximum distance travelled carrying a flag..

to find :

• what is the maximum distance travelled carrying a flag..

solution :

• please check the attached file

answer :

• Required maximum distance ruchi travelled a flag is 26 m