How the state patrol officers on a highway could detect the driver exceeded the speed limit
Problem 1
A state patrol officer saw a car start from rest at a highway on-ramp. She radioed ahead to another
officer 28 miles along the highway. When the car reached the location of the second officer 22 min later, it was clocked
going 60 mi/hr. The driver of the car was given a ticket for exceeding the 60 mi/hr speed limit.
Why can the officer conclude that the driver exceeded the speed limit?
Solution
Notice that the speed of 60 miles per hour is the same as 1 mile per minute.
Would the driver move under the speed limit, then he (or she) could cover not more than 22 miles in 22 minutes.
But since the driver covered more than that in 22 minutes, he (or she) really exceeded the speed limit of 60 mph.
Solved.
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By the way, one important conclusion and a practical lesson to learn from my solution is THIS
For the traffic police officers, it is not necessary to see firsthand/personally as the driver exceeds the speed limit.
If they are armed with this technique and this LOGIC (!), they can detect and to prove the fact of exceeding the speed
"remotely", without seeing it.
My other additional lessons on Travel and Distance problems in this site are
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- OVERVIEW of additional lessons on Travel and Distance
Use this file/link ALGEBRA-I - YOUR ONLINE TEXTBOOK to navigate over all topics and lessons of the online textbook ALGEBRA-I.