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

The distance drive by Lana = 201 miles

The distance drive by Mark = 216 miles

The distance drive by Tony = 67 miles

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 =
`(1)/(3)` of Lana distance

Or, T =
`(1)/(3)` × L

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

Or, M = 15 + L

Now.

L +
`(1)/(3)` × L + 15 + L = 484

Or, 2 L +
`(L)/(3)` = 484 - 15

Or, 2 L +
`(L)/(3)` = 469

Or,
`(7 L)/(3)` = 469

Or, 7 L = 469 × 3

∴ L =
`(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 =
`(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