If 4x minutes past 2 and 2x minutes to 3 indicate the same time, what time is it?
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Step-by-step explanation:
The time can be represented as:
=> t = 4x + 2(60)
And, as:
=> t = 3(60) - 2x
(In the above steps, all units are in minutes - hours have been converted to minutes)
Therefore, 4x + 120 = 180 - 2x
4x + 2x = 180 - 120
6x = 60
=> x = 60/6 = 10 minutes
Thus, the current time is:
t = 4x + 2(60)
=> t = 4(10) + 2(60)
= 40 + 2(60)
= 40 minutes and 2 hours
Therefore, the time is: 40 minutes past 2
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