Question

At t minutes before 5 p.m. time needed by the minute hand of a clock to show 5:45 p.m. was found to be 30 minutes more than t^2/4 minutes. Find t.

Answer 1

t minutes before 5pm time needed to show 5:45pm is 60+t

according to question, 60+t=t^2/4-345

240+4t=t^2-1380

t^2-4t-1620=0

on solving this we get 4+80.5/2(ignoring the negative value)

we get t=42.25s