Respuesta :
Answer:
The gear ratio of the bike = 3:1
Step-by-step explanation:
Question:
A gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket. If a bike has 36 teeth on the front sprocket and 12 teeth on the rear sprocket, what is the gear ratio for the bike?
Given:
Number of teeth on the front sprocket = 36
Number of teeth on the rear sprocket = 12
To find the gear ratio for the bike.
Solution:
The gear ratio of a bike is the ratio of the number of teeth on the front sprocket and the number of teeth on the rear sprocket.
Thus, the gear ratio can be given as:
[tex]\frac{\textrm{Number of teeth on front sprocket}}{\textrm{Number of teeth on rear sprocket}}[/tex]
⇒ [tex]\frac{36}{12}[/tex]
Reducing to simple fraction by dividing the numerator and denominator by their GCF.
⇒ [tex]\frac{36\div 12}{12\div 12}[/tex]
⇒ [tex]\frac{3}{1}[/tex]
Thus the gear ratio can be given = 3:1
