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Final answer:At the 3/4 mile mark in the bike challenge, riders will collect red, green, and blue ribbons as it is a common multiple for all the specified distances for collecting each color. Therefore, the correct option is B. Red and green ribbonsExplanation:The problem pertains to understanding fractions and determining at what distances different colored ribbons are collected during a bike challenge. Specifically, we need to identify which color ribbons are collected at the 3/4 mile marker. Red ribbons are collected every 1/12 mile, green every 1/8 mile, and blue every 1/4 mile. By finding common multiples or evaluating the fractions, it is determined which ribbons are collected at 3/4 mile.Firstly, 3/4 mile is a multiple of 1/4, which means a blue ribbon is collected at this point. Secondly, 3/4 is also 6/8, which is a multiple of 1/8, indicating a green ribbon is also collected. Finally, 3/4 is 9/12, which is a multiple of 1/12, showing a red ribbon will be collected too. Therefore, all three colors of ribbons, red, green, and blue, are collected at the 3/4 mile marker....