To catch a Thief.........Algebra Level pending
The officer replied: "Yes sir, he takes 3 steps to every 2 of mine."
"But then how did u ever catch him, if that was the case..?" interrogated the lawyer.
"That's easily explained..I have got a longer stride", replied the officer. "2 steps of mine are equal to his 5. So the number of steps I required were fewer than his."
How many steps did the officer take to catch up with the thief..?
(You can assume that the lead of 36 steps were thief-steps)