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03 May 2026, 19:00
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Difficulty:
15%
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Question Stats:
82% (01:25) correct
18%
(01:24)
wrong
based on 83
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Circular gears X and Y start rotating at the same time at constant speeds. Gear X makes 20 rotations per minute and gear Y makes 60 rotations per minute. How many seconds after the gears start rotating will gear Y have made exactly 120 more rotations than gear X?
A. 2
B. 3
C. 120
D. 180
E. 360
A. 2
B. 3
C. 120
D. 180
E. 360
03 May 2026, 20:26
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Let time = t minutes
Gear X rotations = 20t
Gear Y rotations = 60t
Difference = 60t − 20t = 40t
Set 40t = 120 ⇒ t = 3 minutes
Convert to seconds: 3 × 60 = 180
Answer: D
Gear X rotations = 20t
Gear Y rotations = 60t
Difference = 60t − 20t = 40t
Set 40t = 120 ⇒ t = 3 minutes
Convert to seconds: 3 × 60 = 180
Answer: D
03 May 2026, 22:07
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Easy question but the trick is that they are asking for seconds and while trying to be quick, i overlooked it and selected the answer with minutes.
Correct answer is D. 3min -> 180 sec
Relative speed of gears is 60-20 = 40 rotation per min. We want time when distance is 120 rotations.
so T= 120/40 = 3 min = 180 sec
D.
Correct answer is D. 3min -> 180 sec
Relative speed of gears is 60-20 = 40 rotation per min. We want time when distance is 120 rotations.
so T= 120/40 = 3 min = 180 sec
D.
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