Question

Moo bikes 5 1/2 miles and Nathan mike 3 1/2 miles. How many times the length of nathan’s bike ride was moo’s bike ride

Answer 1

`(11)/(7)` times the length of nathan’s bike ride was moo’s bike ride

Solution:

Given that, Moo bikes
`5(1)/(2)` miles and Nathan mike
`3(1)/(2)` miles

To find: number of times the length of nathan’s bike ride was moo’s bike ride

From given question,

Length of Moo bike ride =
`5(1)/(2)` miles

`\rightarrow 5(1)/(2) = ( 2 * 5 + 1)/(2) = (11)/(2) \text{ miles }`

Length of nathan bike ride =
`3(1)/(2)` miles

`\rightarrow 3(1)/(2) = (2 * 3 + 1)/(2) = (7)/(2) \text{ miles}`

Number of times the length of nathan’s bike ride was moo’s bike ride is given by:

Let "n" be the number of times

Therefore,

Length of Moo's bike ride = n x Length of nathan bike ride

`(11)/(2) = n * (7)/(2)\\\\11 = 7n\\\\n = (11)/(7)`

Thus
`(11)/(7)` times the length of nathan’s bike ride was moo’s bike ride