4/28/08 - Problem of the Week (Problems)

Footprints Found - The Problems
June 30, 2008

Last week footprints left by a running raptor-type didactyl dinosaur (a didactyl animal is an animal with only two digits) were found along a lake in Korea. The island the prints were found on is only 0.2 miles long. Scientists estimate that the animal must have been running 11mph. If the estimate is accurate, how many minutes would it have taken the dinosaur to run the full length of the island? Express your answer as a decimal to the nearest tenth.

Researchers estimate that the animal’s hip height was 27.5 inches. If the hip-height to footprint-length ratio is 5:1, how long was each foot print, in inches. Express your answer as a decimal to the nearest tenth.

Before this discovery, only two sets of didactyl footprints had ever been found (both in China). The first was left by an animal traveling an estimated 1.1 mph and the second by an animal traveling an estimated 3.6 mph. By what percent does the new set of prints raise the average estimated speed traveled by didactyls while leaving prints? Express your answer to the nearest tenth.


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