Answer:
The hours it takes Elena to meet Jada = 4 hours
Step-by-step explanation:
The distance between Elena and Jada = 32 miles
The speed with which Elena runs = 6 miles per hour
The speed with which Jada walks = 2 miles per hour
Let t, represent the time it takes until Elena and Jada meets, we have;
Distance = Speed × Time
The total distance covered by both Elena and Jada before they meet = The distance between them = 32 miles
The distance covered by Elena before meeting Jada = Elena's speed × The time that elapsed for them to meet
∴ The distance covered by Elena before meeting Jada = 6 mph × t
The distance covered by Jada before meeting Elena = Jada's speed × The time that elapsed for them to meet
∴ The distance covered by Jada before meeting Elena = 2 mph × t
The total distance covered by both Elena and Jada before they meet = The distance covered by Elena before meeting Jada + The distance covered by Jada before meeting Elena = 32 miles
∴ The total distance covered by both Elena and Jada before they meet = 6 mph × t + 2 mph × t = 32 miles
t × (6 mph + 2 mph) = 32 miles
t × 8 mph = t × 8 miles/hour = 32 miles
t = 32 miles/(8 miles/hour) = 4 hours
The time it takes until Elena and Jada meets = t = 4 hours
