Question 91

Punit, Vinit and Ajit begin to jog around a stadium. They complete their revolutions in 45 seconds, 54 seconds and 36 seconds respectively. After how many seconds will they be together at the starting point ?

Solution

Time taken by Punit, Vinit and Ajit to be together at the starting point

= L.C.M. of 45, 54 and 36

=> 45 = $$3^2 \times 5$$

54 = $$2 \times 3^3$$

36 = $$2^2 \times 3^2$$

=> L.C.M. = $$2^2 \times 3^3 \times 5 = 540$$ seconds

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