Math Arguments
Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.
Go Speedracer, GO!
Is it worth it to drive a 20-mile trip at 60 mi/hr instead of 55 mi/hr?
What about the possibility of a speeding ticket?
Can you generalize the problem, i.e. the average speed is increased from 55 mi/hr to (55+x) mi/hr?
What would that look like in general? The change in time for unit increase in rate for a fixed distance d.
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Source:
David Marain
# of min saved by doing a 20-mile trip in 61 mi/hr vs 60 mi/hr? Compare numerical result to time the trip would take in hours at the faster speed. Answer these if the avg speed is increased from 60 mi/hr to (60+x) mi/hr. Apologies to metric!
— David Marain (@dmarain) September 29, 2020
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