Question

Satvik observed that in a clock, the time needed by the minute hand of a clock to show 3 PM was found to be 3 min less than t2/4 minutes at t minutes past 2 PM. Then t is equal to

(a) 14                                                                    

(b) 15

(c) 16                                                                    

(d) None of these


Please Answer this question with explanation .​

Answer 1

Answer:

I think b

Step-by-step explanation:

Just guessing but sorry to say that

Answer 2

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t minutes past 2, the time needed to show 3 is 60-t.

As per the question,

60-t=$\frac {t^2}{4}$-3

$240-4t=t^2-12$

$t^2+4t-252=0$

t(t+18)−14(t+18)=0

(t+18)(t−14)=0

t=−18,14

Ignoring the negative value,

t=14