# SOLUTION: A penny-farthing bicycle is shown. The radius of the front/small wheel is 0.2m and the bigger/backward wheel is 0.84m. In a journey the front wheel rotates completely 156 times. a

Algebra ->  Algebra  -> Circles -> SOLUTION: A penny-farthing bicycle is shown. The radius of the front/small wheel is 0.2m and the bigger/backward wheel is 0.84m. In a journey the front wheel rotates completely 156 times. a      Log On

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 Question 629812: A penny-farthing bicycle is shown. The radius of the front/small wheel is 0.2m and the bigger/backward wheel is 0.84m. In a journey the front wheel rotates completely 156 times. a. How far does the bicycle travel? b. How many complete turns does the rear wheel make?Answer by solver91311(16897)   (Show Source): You can put this solution on YOUR website! I don't know what sort of picture you have, but the description is not a penny-farthing bicycle. You have described a bicycle that has a much larger rear wheel, just the opposite of a penny-farthing and which sounds like a variant of the safety bicycles that were introduced in the late 1880s. Be that as it may, use the radius of the front wheel to calculate the circumference of the front wheel. Divide 156 revolutions by this value to answer part a. Create the proportion by dividing the radius of the front wheel by the radius of the rear wheel. Multiply this fraction times 156 to answer part b. John My calculator said it, I believe it, that settles it