Orkut Maths Puzzle

Q. A police officer caught a thief. In cross examination the lawyer of accused asked the police officer how he could catch up with the accused who was already 27 steps ahead of him. "Yes sir",the officer replied. "He takes 8 steps to every 5 steps of mine", then the lawyer said "if that was the case,how could u ever catch?" "i have got a long stride.2 steps of mine are equal to his 5",replied the officer. A member of jury who was good at quick calculations figured out the number of steps the officer must have taken to catch the thief. can u find it? (initial 27 steps is that of thief's)

please give detailed soluction to this.

Read Solution (Total 2)

2 steps of p.officer= 5 steps of Thief
5 steps of PO=5*5/2=25/2 steps of Thief.

It means by the time, thief takes 8 steps , PO travels distance equal to 12.5 steps of thief.
Suppose PO catches thief when tthief has taken 8 x steps.

It means 12.5 x=8x+27
4.5 x=27
x=6.
So PO caught thief when thief took 48 steps and PO took 30 steps.
15 years agoHelpfull: Yes(13) No(1)

15
15 years agoHelpfull: Yes(1) No(8)

Orkut Other Question

Q. The minute and the hour hand of a watch meet every 65 minutes. How much does the watch lose or gain time and by how much? Q. A man started to walk from Town A to Town B at 1200 hrs, and his friend started at two P.M. on the same day to walk from B to A. They met on the road at five minutes past four o'clock, and each man reached his destination at exactly the same time. Can you tell at what time they both arrived at their destination?