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Adding 1/4 of the time from midnight to the present time, to 1/2 of the time from present until midnight, gives the present time. what is the present time.

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Alpha, Beta Gamma, Delta and Epilson had birthhdays consecutively. Delta was older than Epilson by 2 days.
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Find on which day the others have their birthdate.
A train and A Cyclist reaches a station every day at the same time. One day the Cyclist starts 20 minutes late from his house.On his way to station the train crosses him at 5 miles before station.The speed of cyclist is 12mph. Find the speed of the train