Question

At the ancient olympics games , in a duel between two runners .
Portheus and Morpheus they were made to start running in opposite
direction from diametrically opposite ends of a circular race track of
length (circumference) \(2\) km. The first time they meet were after
\(24\) minutes If the distance between exactly '\(n\)' minutes after they start
is equal to the quarter of the length of the track, which of the following
is the possible value of '\(n\)'?

a.)124
b.)184
c.)160
d.)204

Answer 1

hmm

Answer 2

n mins to cover 1/4th of the distance

Answer 3

so 4n to cover a circle right

Answer 4

yep

Answer 5

ok so we shud take respect othe first time they meet

Answer 6

24 mins they meet and
24+4*24*k = one of the choices

Answer 7

nice

Answer 8

:)

Answer 9

xD i am not getting any of the answers tho i messed up i think

Answer 10

for some integer value of k

Answer 11

lol u got the answer

Answer 12

\(\large \color{black}{\begin{align}
24=\dfrac{1}{x_1+x_2} \hspace{.33em}\\~\\
\end{align}}\)

where \(x_2\) and \(x_1\) is the speed of faster and slower runner.

\(\large \color{black}{\begin{align}
n=\dfrac{0.5}{x_1+x_2} \hspace{.33em}\\~\\
\end{align}}\)

\(\large \color{black}{\begin{align}
n=12k \hspace{.33em}\\~\\
\end{align}}\)

Answer 13

it should be the multiple of \(12\)

Answer 14

these kinda problem are cool

Answer 15

forget the circle and imagine it as

\(1\) km straight line.

Answer 16

u got any other quick but interesting problems

Answer 17

oh so u want problems , let me see

Answer 18

this one was unsolved by me.

http://openstudy.com/users/mathmath333#/updates/54f8a147e4b0f8f325f725c3