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Ted and Rali run one lap on a circular track. Ted runs in a circular

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Ted and Rali run one lap on a circular track. Ted runs in a circular  [#permalink]

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New post 03 Dec 2019, 01:20
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Question Stats:

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Ted and Rali run one lap on a circular track. Ted runs in a circular path with a radius of r, and Rali runs in a circular path with a radius of r+q, where r and q are greater than 0. Is r a factor of q?

(1) Ted and Rali finish one lap in the same amount of time.

(2) Rali’s average speed is x times greater than Ted’s, where x is an integer.


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Re: Ted and Rali run one lap on a circular track. Ted runs in a circular  [#permalink]

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New post 03 Dec 2019, 04:29
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Bunuel wrote:
Ted and Rali run one lap on a circular track. Ted runs in a circular path with a radius of r, and Rali runs in a circular path with a radius of r+q, where r and q are greater than 0. Is r a factor of q?

(1) Ted and Rali finish one lap in the same amount of time.

(2) Rali’s average speed is x times greater than Ted’s, where x is an integer.


Are You Up For the Challenge: 700 Level Questions



From 1
1 for TED , 2 for RALI
\(S1*T1=2*pi*r\)
\(T1=(2*pi*r)/S1\)
\(T2=[2*pi*(r+q)]/S2\)
since T1=T2
\((r+q)/r=S2/S1\)
Not sufficient

From 2
\((r+q)/r=(T2/T1)*X\)
Not sufficient
From 1 and 2
\(1+q/r=X\)
q/r= integer
C:)
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Re: Ted and Rali run one lap on a circular track. Ted runs in a circular  [#permalink]

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New post 04 Dec 2019, 08:39
Bunuel wrote:
Ted and Rali run one lap on a circular track. Ted runs in a circular path with a radius of r, and Rali runs in a circular path with a radius of r+q, where r and q are greater than 0. Is r a factor of q?

(1) Ted and Rali finish one lap in the same amount of time.

(2) Rali’s average speed is x times greater than Ted’s, where x is an integer.


rt=d
d=circ=2•radius•π

(1) Ted and Rali finish one lap in the same amount of time. insufic
(2) Rali’s average speed is x times greater than Ted’s, where x is an integer. insufic

(1)&(2) sufic

\(2πr/t=2π(r+q)/xt…xr=r+q…x=r+q/r…x=1+q/r=integer…q/r=integer\)

Ans (C)
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Re: Ted and Rali run one lap on a circular track. Ted runs in a circular   [#permalink] 04 Dec 2019, 08:39
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