Track Laps

Problem of the Week - April 29, 2024



Abigail and Ben meet at the track to run laps. The track is an oval with two 100 meter straights and two 100 meter semicircular turns (as measured in lane 1). Each lane is 1 meter apart. If Abigail runs in lane 1 and Ben runs in lane 6 and they start at the same time from the start/finish line running clockwise around the track at 10 km/hr, after how many laps for Abigail will Abigail pass Ben? Both runners stay in their lane for the entire time. Round your answer to the nearest hundredth.

Problem submitted by Mike Schieffer, Austin, TX

There was a typo in the previous problem that has now been corrected. An extra 0 was accidentally typed 1000 meter rather than 100. I am sorry about the error.

 

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