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29 Apr 2025, 03:36
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Two cyclists, Alex and Jordan, are cycling around a circular track. If they start at exactly the same time, in how many seconds will Alex have completed exactly one more lap than Jordan?
(1) Alex completes each lap in 20 seconds and Jordan completes each lap in 25 seconds.
(2) They start at the same point on the track and cycle in the same direction.
(1) Alex completes each lap in 20 seconds and Jordan completes each lap in 25 seconds.
(2) They start at the same point on the track and cycle in the same direction.
29 Apr 2025, 03:36
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Official Solution:
Two cyclists, Alex and Jordan, are cycling around a circular track. If they start at exactly the same time, in how many seconds will Alex have completed exactly one more lap than Jordan?
(1) Alex completes each lap in 20 seconds and Jordan completes each lap in 25 seconds.
In every 25 seconds, Jordan completes 1 lap, while Alex completes 1.25 laps (1 lap plus 25% of the lap). So Alex gains 0.25 laps on Jordan every 25 seconds. To gain 1 full lap, Alex needs 4 such intervals: 25 * 4 = 100 seconds. Sufficient.
(2) They start at the same point on the track and cycle in the same direction.
This information is irrelevant. The starting point and direction do not affect the time it takes for one cyclist to complete exactly one more lap than the other. Not sufficient.
Answer: A
Two cyclists, Alex and Jordan, are cycling around a circular track. If they start at exactly the same time, in how many seconds will Alex have completed exactly one more lap than Jordan?
(1) Alex completes each lap in 20 seconds and Jordan completes each lap in 25 seconds.
In every 25 seconds, Jordan completes 1 lap, while Alex completes 1.25 laps (1 lap plus 25% of the lap). So Alex gains 0.25 laps on Jordan every 25 seconds. To gain 1 full lap, Alex needs 4 such intervals: 25 * 4 = 100 seconds. Sufficient.
(2) They start at the same point on the track and cycle in the same direction.
This information is irrelevant. The starting point and direction do not affect the time it takes for one cyclist to complete exactly one more lap than the other. Not sufficient.
Answer: A
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27 Aug 2025, 04:20
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Bunuel I gather time will be 100 seconds regardless of whether Alex and Jordan are moving in the same or opposite directions. Could you please confirm? Many thanks in advance!
Bunuel
