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# John and Peter decide to race along two concentric circular paths. Joh

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Math Expert
Joined: 02 Sep 2009
Posts: 55277
John and Peter decide to race along two concentric circular paths. Joh  [#permalink]

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14 Sep 2018, 01:39
00:00

Difficulty:

45% (medium)

Question Stats:

65% (01:25) correct 35% (01:25) wrong based on 21 sessions

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John and Peter decide to race along two concentric circular paths. John runs along the outer circle while Peter runs along the inner circle. How fast should John run so that they both complete a lap in the same amount of time?

(1) The difference in radius between the two circles is 2 miles.
(2) Peter runs at a speed of 6 miles per hour.

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image017.gif [ 587 Bytes | Viewed 521 times ]

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Re: John and Peter decide to race along two concentric circular paths. Joh  [#permalink]

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15 Sep 2018, 06:27
Bunuel wrote:

John and Peter decide to race along two concentric circular paths. John runs along the outer circle while Peter runs along the inner circle. How fast should John run so that they both complete a lap in the same amount of time?

(1) The difference in radius between the two circles is 2 miles.
(2) Peter runs at a speed of 6 miles per hour.

Attachment:
image017.gif

For Peter and John to complete the lap in same amount of time

Ratio of distances covered by them = ratio of their speeds
Also, Ratio of distances covered by them = Ratio of Radius/Diameters/Circumference of track

Question: ow fast should John run so that they both complete a lap in the same amount of time?

Statement 1: The difference in radius between the two circles is 2 miles.
We don't have the ratio of radius as we only get the difference here hence
NOT SUFFICIENT

Statement 2: Peter runs at a speed of 6 miles per hour..
We don't have the ratio of radius as we only get the speed of one person here hence
NOT SUFFICIENT

Combining the two statements
We still don't ave the ratio of radius nor do we have ratio of their speeds hence
NOT SUFFICIENT

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Re: John and Peter decide to race along two concentric circular paths. Joh   [#permalink] 15 Sep 2018, 06:27
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