Question

Carlos and Maria drove a total of 191 miles in 3.8 hours. Carlos drove the first part of the trip and averaged 49 miles per hour. Maria drove the remainder of the trip and averaged 52 miles per hour. For approximately hour many hours did maria drive? round your answer to the nearest tenth if necessary.

Answer 1

help

Answer 2

average speed = distance / time
distance = average speed * time

let t = time Maria drove
then 3.8 - t = time Carlos drove

distance Carlos drove = 49 * (3.8 - t)
distance Maria drove = 52 * t
total distance driven = 191

49(3.8 - t) + 52t = 191
Solve the equation for t.