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The distance a bicycle travels with each turn of its wheels is about 3 1/7 times the tire diameter. The tires on Mike’s bicycle have a diameter of 24 1/2 inches. How far does it travel with each turn of the wheels?

Respuesta :

Answer:

Mike's bicycle covers 77 inches in one turn.

Step-by-step explanation:

The distance a bicycle travel is given by the relation;

[tex]Distance=3\frac{1}{7} \times diameter[/tex]


If Mike's bicycle has  a diameter of [tex]24\frac{1}{2}[/tex] inches;


Then the distance it covers in each turn is;

[tex]Distance=3\frac{1}{7}\times 24\frac{1}{2}[/tex]


We convert to improper fractions to obtain;

[tex]Distance=\frac{22}{7}\times \frac{49}{2}[/tex]


We cancel out the common factors to get;

[tex]Distance=\frac{11}{1}\times \frac{7}{1}[/tex]


[tex]Distance=77[/tex]


Therefore Mike's bicycle covers 77 inches in one turn.