At t minutes past 2pm, the time needed by the minutes hand of a clock to show 3pm was found to be 3 minutes less than t square ÷4 minutes. What is the value of t?
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Answer: 14 min
Step-by-step explanation:
We know that time between 2 pm to 3 pm is 1 hour that is 60 minutes
A.T.Q:
t+(t^2/4-3)=60
4t+t^2-12=240
4t+t^2-252=0
t^2+18t-14t-252=0
t(t+18)-14 (t+18)=0
(t-14)(t+18)=0
t=14or-18
We are neglecting -18 because time can t be negative
So t =14
Therefore time is equal to 14min
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