Respuesta :
Answer:
The distance drive by Lana = 201 miles
The distance drive by Mark = 216 miles
The distance drive by Tony = 67 miles
Step-by-step explanation:
Given as :
The total distance cover by Lana , Tony , Mark = 484 miles
Let The distance drove by Lana = L miles
The distance drove by Tony = T
The distance cover by Mark = M
So , L + T + M = 484 miles
Now, The distance of Tony = [tex]\frac{1}{3}[/tex] of Lana distance
Or, T = [tex]\frac{1}{3}[/tex] × L
And The distance of Mark = 15 + The distance of Lana
Or, M = 15 + L
Now.
L + [tex]\frac{1}{3}[/tex] × L + 15 + L = 484
Or, 2 L + [tex]\frac{L}{3}[/tex] = 484 - 15
Or, 2 L + [tex]\frac{L}{3}[/tex] = 469
Or, [tex]\frac{7 L}{3}[/tex] = 469
Or, 7 L = 469 × 3
∴ L = [tex]\frac{1407}{7}[/tex]
I.e L = 201
The distance drive by Lana = 201 miles
The distance drive by Mark = 15 + L =15 + 201 = 216 miles
The distance drive by Tony = [tex]\frac{1}{3}[/tex] × 201 = 67 miles
Hence The distance drive by each person is
The distance drive by Lana = 201 miles
The distance drive by Mark = 216 miles
The distance drive by Tony = 67 miles Answer
