Question

A,B and C start running on a circular track from the same point.
A and B run in a clcokwise fashion.
C runs anti clockwise.
When A and C meet for the first time,
C is at a distance which is equal to quarter of circumference of circular track.
It is also known that A runs faster than C.
The ration of speeds of A,C and B cannot be.


\(\large \color{black}{ a.)\quad 5:1:2 \quad \hspace{.33em}\\~\\
b.)\quad 3:1:1 \quad\hspace{.33em}\\~\\
c.)\quad 4:2:1 \quad \hspace{.33em}\\~\\
d.)\quad 3:2:1 \quad \hspace{.33em}\\~\\
}\)

Answer 1

well we know that B is only 1/4 of the way done running the track and that A went 3/4 around the track, and since C runs slower that A, it will be less than A but greater than B.

Answer 2

how u concluded that
" A went 3/4 around the track".

Answer 3

because it said that "When A and C meet for the first time,
C is at a distance which is equal to quarter of..." so A would have to meet him at 3/4 of the distance, because they both went opposite ways

Answer 4

ok, so how to move further

Answer 5

what do you mean?

Answer 6

have u got the answer

Answer 7

yes i have

Answer 8

which one

Answer 9

my answer is 3:2:1

Answer 10

how u got it

Answer 11

because A goes 3 times as fast as B, BUT C is slower than a but faster than b

Answer 12

how u get "A goes 3 times as fast as B".

Answer 13

because a is already 3/4 of the way around the track when b is 1/4 the way around

Answer 14

but it is C who is 1/4 th way around , read the question.

Answer 15

ohh it said which cannot be the answer.. ok. then The answer is b. i didnt read the question good enough

Answer 16

@iGreen what would you say?? or @Adi3

Answer 17

@phi

Answer 18

The question is a bit confusing.
first, I think the ratio of speeds of A:C is 3:1

if the ratios are given as speeds of A:B:C (and not A:C:B as implied)
then I would expect 3x: y: x
where x is an integer
thus 3: y : 1
works
or
6:y:2
works

so B and D "work"

they want the ratios that don't work, so I would pick
A and C

Answer 19

i have checked the question several times , the ratio of speeds of \(A:C:B\) is asked.

Answer 20

and the answer given in book is \(\large \color{black}{d.)\quad 3:2:1\\~\\
}\)

Answer 21

@Michele_Laino