InterviewSolution
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InterviewSolution
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At t minutes past 2 pm, the time needed by the minutes hand of a clock to show 3pm was found to be 3 minutes less than `(t^2)/4 minutes. Find t. |
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Answer» We know that the time between 2 pm to 3pm `1h=60` min Given that at `t` min past 2pm the time needed by the min hand of a clock to show 3 pm was found to be 3 minless than `(t^(2))/4` min i.e. `t+((t^(2))/4-3)=60` `implies 4t+t^(2)-12=240` `impliest^(2)+4t-252=0` `impliest^(2)+18t-14t-252=0` `implies t^(2)+18t-14t-252=0` [by splitting the middle term] `implies t(t+18)-14(t+18)=0` [since, time cannot be neative so `t!=-18`] `implies (t+18)(t-14)=0` `:. t=14` min Hence the required value to `t` is 14 min. |
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