Solve the problem.
-During a road trip, Tony drove one-third the distance that Lana drove. Mark drives 12 more miles than Lana drove. The total distance they drove on the trip was 558 miles. How many miles did each person
Drive?
A)Tony drove 78 miles, Lana drove 234 miles, and Mark drove 246 miles.
B)Tony drove 234 miles, Lana drove 702 miles, and Mark drove 714 miles.
C)Tony drove 74 miles, Lana drove 222 miles, and Mark drove 234 miles.
D)Tony drove 702 miles, Lana drove 234 miles, and Mark drove 222 miles.

Question

Quizplus · Accepted Answer

Let the distance Lana drove be $L$, Tony drove $\frac{1}{3}L$, and Mark drove $L + 12$. The equation is $\frac{1}{3}L + L + (L + 12) = 558$. Solving gives $L = 234$, so Tony drove $78$ miles, and Mark drove $246$ miles.

Solve the Problem. -During a Road Trip, Tony Drove One-Third the Distance That