Question

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 t2/4 minutes . find t.

Answer 1

Answer:

t=14 minutes

Step-by-step explanation:

Since the minute hand is t minute more than 2 pm, the minute hand has completed t minute after 2 pm.

So, to show 3 pm, it will cover 60 - t minute more.

According to question,

60 - t = t2 /4 - 3

=> t2 /4 - 3 + t - 60 = 0

=> t2 /4 + t - 63 = 0

=> t2 + 4t - 252 = 0

=> (t + 18)*(t - 14) = 0

=> t = -18, 14

Since time can not be negative,

So t = 14

Hence the value of t is 14 minutes.

plz mark it as brainlist answer