At t min past 2 pm, the time needed by the minute hand of a clock to show 3pm was found to be 3 min less than 
min. Find t.
Time (in minutes) taken by the minute hand to travel from 2 pm to 3 pm = 60 minutes
According to question,
⇒ 
⇒ 4(60 - t) = t2 - 12
⇒ 240 - 4t = t2 - 12
∴ t2 + 4t – 252 = 0
Using the quadratic formula,
∴ The required value of t is 14 mins. (* Time cannot be negative)
8