Question

During a road trip Tony , Tony drove one third the distance that Lana drove. Mark drives 15 more than Lana drove .The total distance they on the trip was 484 miles . How many miles did each person drive ?

Answer 1

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 = $\frac{1}{3}$ of Lana distance

Or,   T = $\frac{1}{3}$ × L

And The distance of Mark = 15 + The distance of Lana

Or,   M = 15 + L

Now.

   L + $\frac{1}{3}$ × L + 15 + L = 484

Or, 2 L + $\frac{L}{3}$ = 484 - 15

Or,  2 L + $\frac{L}{3}$ = 469

Or,  $\frac{7 L}{3}$ = 469

Or,  7 L = 469 × 3

∴     L =  $\frac{1407}{7}$

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 =  $\frac{1}{3}$ × 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