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Two clocks time realted

Two clocks are set to correct time at Tuesday 10 AM. First clock gains 3 and half minute per hour whereas second clock looses 2 and half minute per hour. At what time they will be 1 hour apart from each other?

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Philip P. | Effective and Affordable Math TutorEffective and Affordable Math Tutor
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The faster clock gains 3.5 + 2.5 = 6 minutes per hour on the slower clock.  Hence:
 
(6 minutes per hour)*(t hours) = 60 minutes
 
t = 60/6 = 10 hours
 
10 am + 10 hours = 8 pm in real time
 
The faster clock will read 8:35 pm while the slower one will read 7:35 pm

Comments

10 am + 12 hours = 10 pm
 
10 hours is two hours fewer than 12 hours, so:
 
10 am + 10 hours = 8 pm, two hours earlier than 10 pm