Answer:
12 miles
Explanation:
Given information:
- Mia drinks a bottle of water after every 2 miles.
- Mia eats a snack after every 4 miles.
Mia drinks water after every 2 miles she runs. Therefore, if Mia has packed 5 bottles of water she can run:
⇒ 2 + 5 × 2 = 12 miles
Mia eats a snack after every 4 miles she runs. Therefore, if Mia has packed 2 snacks she can run:
⇒ 4 + 2 × 4 = 12 miles
Therefore, Mia can run 12 miles with the items she has packed.
0 miles: Begins running.
2 miles: Drinks bottle 1.
4 miles: Drinks bottle 2 and eats snack 1.
6 miles: Drinks bottle 3
8 miles: Drinks bottle 4 and eats snack 2.
10 miles: Drinks bottle 5.
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12 miles: Drinks another bottle.
Remember that Mia drinks a bottle of water after she has run 2 miles, and eats a snack after she has run 4 miles.
Therefore, drinking a bottle of water allows Mia to run for 2 further miles, and eating a snack allows her to run for 4 further miles.
So when she drinks her last bottle of water at 10 miles, she can only continue running for a further 2 miles before she needs to drink again. As she doesn't have a 6th bottle of water, she will have to stop running at 12 miles.