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)
Q. In the middle of a vast prairie, a truck is stationed at the intersection of two perpendicular straight highways.
The truck travels at 50 miles per hour along the highways and at 14 miles per hour across the prairie.
Consider the set of points that can be reached by the firetruck within six minutes. The area of this region is m/n square miles, where m and n are relatively prime positive integers.
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?
The railroad bridge across the Futile Mire has a northbound track and a southbound track. The tracks are parallel and exactly 2 miles long. Anyone attempting to cross the bridge on foot must stay between the rails on the chosen track. It is not possible to step outside the rails or to jump to the other track.
One day Tom and Sue try to walk across the bridge, Tom heading north on the northbound track, and Sue heading south on the southbound track. The athletic Sue can run twice as fast as the portly Tom. All trains run at the same constant speed.
When Tom and Sue are 1 mile apart they both hear trains whistles behind them. Trains are approaching on both tracks. Tom and Sue can just escape by running to either end of the bridge. How far is each train from the tunnel?