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!

Doug2014-04-01T11:50:50Z

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