Question

1 2 3 4 5 6 7 8 9 10 TIME REMAINING 52:29 There are two routes Lucas can take to walk to school. Route A is 2 and StartFraction 1 over 8 EndFraction miles and is StartFraction 3 over 8 EndFraction mile longer than route B. The equation b + StartFraction 3 over 8 EndFraction = 2 and StartFraction 1 over 8 EndFraction can be used to represent this situation, where b is the length of route B. How many miles will Lucas walk if he takes route B?

Answer 1

Lucas will walk
`1(3)/(4)` miles if he takes route B

Explanation:

Length of route A =
`2 (1)/(8) miles`

Length of route A
`=(17)/(8) miles`

We are given that route A is 3/8 mile longer than route B

Let b be the length of route B

So,
`b+(3)/(8) =2 (1)/(8) \\b+(3)/(8) =(17)/(8)\\b=(17)/(8)-(3)/(8)\\b=(14)/(8)\\b=(7)/(4)\\b=1(3)/(4)`

Hence Lucas will walk
`1(3)/(4)` miles if he takes route B