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Please help with these math problems?

A Ferris wheel has a circumference of 592 feet. If a trip around takes 45 seconds, find the average speed in miles per hour. Round to the nearest tenth.

Write the ratio as a fraction to lowest terms.

30 to 6

A person riding a Ferris Wheel travels once around the wheel, a distance of 172 feet, in 30 seconds. What is the average speed of the rider in feet per second? Round to the nearest tenth.

Thank you!

1 Answer

Relevance
  • 7 years ago

    Keeping things as fractions instead of decimals is quite a pain in this case but it just takes simplification over and over...

    1. Feet to miles

    592 feet x ( 1 mile / 5280 feet ) = 592/5280 = 296/2640 = 148/1320 = 74/660 = 37/330 miles

    2. Seconds to hours

    45 sec x (1 min / 60 sec) x (1 hr / 60 min) = 45/3600 = 5/400 = 1/80 hours

    3. Miles per (/) hour

    (37/330) / (1/80). Multiply reciprocal of denominator

    (37/330) x (80/1) = 2960/330

    = 296/33 miles per hour.

    Repeat process for the second problem

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