Question

The students of a school decided to beautify the school on the Annual Day by fixing colourful flags on the straight passage of the school. They have $27$ flags to be fixed at intervals of every $2m$. The flags are stored at the position of the middle most flag. Ruchi was given the responsibility of placing the flags. Ruchi kept her books where the flags were 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 her books? What is the maximum distance she travelled carrying a flag?

• A. $830m20m$
• B. $728m26m$
• C. $619m53m$
• D. $513m19m$

Answer 1

Answer: (B)

$728m26m$

$27$ flags were fixed at intervals of $2$m each, totally gap between the flags will be $26$ so from centre to one end will be the maximum distance she will cover i.e. $13$ gaps.

each gap is of $2$ m, so maximum distance she will cover carrying one flag will be $13\times 2=26$ m

Total distance she will cover $=2\times \text{distance for one side}$

$=2\times \left(\text{distance for going to the flag position}+\text{comingback to take the flag}\right)$

$=2\times (2\times \text{distance for going to the flag position})$

$=2\times (2\times (2+4+6+8+........26))$

$=2\times (2\times (\frac{13}{2}(2+26)\left)\right)$

$=2\times (2\times 13\times 14)$

$=728$ m