Option B
2 times the length of Noah's bike ride was Mai's bike ride
Given that Mai biked 7 and 1/4 miles today and Noah biked [tex]3\frac{5}{8}[/tex] miles
We have to find how many times the length of Noah's bike ride was Mai's bike ride
Let "a" be the number that denotes how many times the length of Noah's bike ride was Mai's bike ride
From given information,
Distance biked by Mai = [tex]7\frac{1}{4} \text{ miles}[/tex]
Distance biked by Noah = [tex]3\frac{5}{8} \text{ miles}[/tex]
So to find how many times the length of Noah's bike ride was Mai's bike ride, we can frame a equation as:
"a" times distance biked by noah is equal to distance biked by mai
[tex]\text{ Distance biked by Mai } = a \times \text{ Distance biked by Noah }[/tex]
Substituting the known values we get,
[tex]7\frac{1}{4} = a \times 3\frac{5}{8}\\\\\frac{4 \times 7+1}{4} = a \times \frac{8 \times 3 +5}{8}\\\\\frac{29}{4} = a \times \frac{29}{8}\\\\\frac{1}{4} = \frac{a}{8}\\\\a = 2[/tex]
Thus 2 times the length of Noah's bike ride was Mai's bike ride