Question

25 :} There are 3 consecutive traffic lights which turn "green" after every 36, 42

and 72 seconds. They all were at "green" at 9:00 AM. At what time will they all

turn "green" simultaneously?​

Answer 1

$\huge{\boxed{\mathcal\pink{\fcolorbox{red}{purple}{Solution:-}}}}$

$find \: lcm \: firstly \\ \\ lcm \: of \: 36, \: 42, \:and\: 72 = 2×2×2×3×3×7 \\</p><p>=504 \: seconds \\ \\ 504 \: sec \: = 8 \: minutes \: 24 \: seconds \\ so \: after \: 8 \: minutes \: 24 \: seconds \: all \: \\ lights \: will \: turn \: green \: \\ simultaneously. \\ \\ that \: means \: at \: time, \\ 9:08 \: minutes \: and \: 24 \: seconds$

$\huge{\boxed{\mathcal\red{\fcolorbox{pink}{blue}{THANKS:-}}}}$