Final answer:
Maverick drives 8 miles, Lilly drives 16 miles, and Remi drives 26 miles to work each day. The total distance covered by all three is 50 miles, with Lilly driving twice as far as Maverick and Remi driving 10 miles more than Lilly.
Step-by-step explanation:
The question asks to determine how far Maverick, Lilly, and Remi drive to work each day given that the total distance covered by all three is 50 miles, Lilly drives twice as far as Maverick, and Remi drives 10 miles farther than Lilly. To solve this, let M represent the number of miles Maverick drives. Then Lilly drives 2M miles, and Remi drives 2M + 10 miles. The sum of their daily drives is 50 miles, which gives us an equation: M + 2M + 2M + 10 = 50.
Combining like terms, we get 5M + 10 = 50. Subtracting 10 from both sides, we have 5M = 40. Dividing both sides by 5, we find that M = 8. Thus, Maverick drives 8 miles, Lilly drives 16 miles (2 × 8), and Remi drives 26 miles (16 + 10)