At T minutes past 2pm the time needed by the minute hand of clock to show 3pm was found to be 3 minutes less than T^2÷4 minutes.find T.

Junior Class 1 Answered

At T minutes past 2pm the time needed by the minute hand of clock to show 3pm was found to be 3 minutes less than T^2÷4 minutes.find T.

Asked by arifansari | 19 Feb, 2016, 06:42: PM

Expert Answer

$begin mathsize 11px style straight T space minutes space past space 2 comma space the space time space needed space to space show space 3 space is space 60 minus straight T As space per space the space question comma space 60 minus straight T equals straight T squared over 4 minus 3 rightwards double arrow 240 minus 4 straight T equals straight T squared minus 12 rightwards double arrow straight T squared plus 4 straight T minus 252 equals 0 rightwards double arrow straight T squared plus 18 straight T minus 14 straight T minus 252 equals 0 rightwards double arrow straight T open parentheses straight T plus 18 close parentheses minus 14 open parentheses straight T plus 18 close parentheses equals 0 rightwards double arrow open parentheses straight T plus 18 close parentheses open parentheses straight T minus 14 close parentheses equals 0 rightwards double arrow straight T equals negative 18 space or space straight T equals 14 Ignoring space the space negative space val semicolon ue comma space straight T equals 14 end style$

Answered by | 19 Feb, 2016, 06:48: PM