Q8 of 51 Page 42

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)


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