Overview
In this post, lets test the reasoning skills with sample puzzle. Its called Speed of the car and Milestone readings Puzzle on a car road trip on the highway.
Puzzle
Lets assume a car is moving with constant speed on a highway. At point of time say t0 the roadside highway milestone reading noticed was two digits. Interestingly, after moving for one hour at t1 time instance, the milestone reading was the same digits that was earlier noticed but in reverse positions. (i.e The digit in units place was moved to 10th place and vice versa).
After moving for further one hour at t2 time instance the milestone reading was the same digits.However, this time the reading was three digits with Zero in between the digits. (i,e The digit in the middle of the reading was Zero).
Assume the speed of the car is constant in the road-trip v miles/hour. Based on the observations find the speed of the car v miles/hour and the roadside milestone readings.
Hints
Distance = speed * time.
Distance
s(t0 -t1) = s(t1-t2) = s(t0-t2)/2
If we assume the initial reading as xy the value of the reading would be = 10*x + y