At 't' minutes past 2pm, the time needed per minute hand of a clock to show 3pm was found to be 3minutes less than t^2 /4 find 't'.

vidkamporge

vidkamporge

Answered question

2022-12-02

At 't' minutes past 2pm, the time needed per minute hand of a clock to show 3pm was found to be 3minutes less than t 2 / 4 find 't'.

Answer & Explanation

Melanie Lam

Melanie Lam

Beginner2022-12-03Added 12 answers

Solution -:According to our condition,
Given time needed by the minutes hand show ( t 2 / 4 ) 3
Therefore, the quadratic equation becomes, ( t 2 / 4 ) 3 = 60 t Because 2 pm to 3pm it will be 60 minutes.
( t 2 12 ) / 4 = 60 t
( t 2 12 ) = 240 4 t
t 2 12 240 + 4 t = 0
t 2 12 240 + 4 t = 0
t 2 + 4 t 252 = 0
t 2 + 18 t 14 t 252 = 0
t(t+18)-14(t+18)=0
(t+18)(t-14)=0
(t+18)=0 or (t-14)=0
t=-18 or t=14 we will neglect t=-18 so we will get an answer t= 14 minutes.

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