a and b go around a circular track of length 150 m on a cycle at speeds of 36 kmph and 54 kmph. after how much time will they meet for the first time at the starting point?  Choose the correct choice from the following choices
A) 30 sec	B) 198 sec	C) 178 sec	D) 665 sec	E) 276 sec
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>

<gadget id="calculator">54 * (5/18)</gadget>
<output>15</output>

<gadget id="calculator">36 * (5/18)</gadget>
<output>10</output>

<gadget id="calculator">15 - 10</gadget>
<output>5</output>

<gadget id="calculator">150 / 5</gadget>
<output>30</output>

<result>A</result>
a and b go around a circular track of length 150 m on a cycle at speeds of 36 kmph and 54 kmph. after how much time will they meet for the first time at the starting point?
divide(150, subtract(multiply(54, const_0_2778), multiply(36, const_0_2778)))
"time taken to meet for the first time at the starting point = lcm { length of the track / speed of a , length of the track / speed of b } = lcm { 150 / ( 36 * 5 / 18 ) , 150 / ( 54 * 5 / 18 ) } = lcm ( 15 , 10 ) = 30 sec . answer : a"