Peter, Paul and Mary, whose walking rates are 1 ft/sec, 3 ft/sec and 6 ft/sec, start walking together in the same direction around a circular track that is 300 feet in circumference. After how many minutes are Peter, Paul and Mary together again?

Question

Ronin Mullins

Mathematics

15 June, 14:10

Peter, Paul and Mary, whose walking rates are 1 ft/sec, 3 ft/sec and 6 ft/sec, start walking together in the same direction around a circular track that is 300 feet in circumference. After how many minutes are Peter, Paul and Mary together again?

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Tori Blanchard · Answer 1

250 seconds because it takes Mary 50 seconds to get around the track (300feet/6ft/sec) and it takes Peter 300 seconds to get around the track (300ft/1ft/sec) so if you subtract the fastest time from the shortest time you get the amount of time that Mary had to wait for Peter to get there, so after 250 sec (300sec-50sec) Peter, Paul, and Mary are reunited.