Question

T t minutes past 2 pm, the time needed by the minutes hand of a clock to show 3 pm was found to be 3 minutes less than 2 4 t minutes. Find t.

Answer 1

Answer:

the minute hand is at t

time needed by minute hand to show 3pm = 60-t

according to the question

60 - t = {t}^2/4-3

60 - t = ({t}^2 - 12)/4

240 - 4t = {t}^2 - 12

{t}^2 + 4t - 256 = 0

by solving this equation well get t = 14