SOLUTION: Randy is mowing a lawn. The front wheels of the mower are 5 inches in diameter, the back wheels are 8 inches in diameter. He begins mowing a path along the front edge of the lawn,

Algebra ->  Equations -> SOLUTION: Randy is mowing a lawn. The front wheels of the mower are 5 inches in diameter, the back wheels are 8 inches in diameter. He begins mowing a path along the front edge of the lawn,       Log On


   

Question 438403: Randy is mowing a lawn. The front wheels of the mower are 5 inches in diameter, the back wheels are 8 inches in diameter. He begins mowing a path along the front edge of the lawn, which is 48 feet long. In this path of length of 48 feet, how many more rotations will each front wheel make than each back wheel? Round your answer to the nearest tenth of a rotation.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The front wheels of the mower are 5 inches in diameter, the back wheels are 8 inches in diameter.
He begins mowing a path along the front edge of the lawn, which is 48 feet long.
In this path of length of 48 feet, how many more rotations will each front wheel make than each back wheel?
Round your answer to the nearest tenth of a rotation.
:
Divide the circumference of front and back wheels into 48 ft:
Change 48 ft to 12*48 = 576 inches
:
Front rotations - back rotations
576%2F%28pi%2A5%29 - 576%2F%28pi%2A8%29 =
36.67 - 22.92 = 13.75 ~ 13.8 more rotations, the 5" wheel than the 8" wheel