Carlos and Maria drove a total of 217 miles in 4.1 hours. Carlos drove
the first part of the trip and averaged 52 miles per hour. Maria drove
the remainder of the trip and averaged 54 miles per hour. For
approximately how many hours did Maria drive? Round your answer to the
nearest tenth if necessary.
So first we need to find the right equations in order to solve for the unknown variables which are the time Maria and Carlos drove. We know the average speed of both people and the total amount they both drove, so we can say 52C + 54M = 217. We also know the total time it took to complete the trip so we can say M + C = 4.1. In the second equations subtract M from both sides to get C = 4.1 - M, than plug that into the first equation. You should have 52(4.1 - M) + 54M = 217. Distribute to get 213.2 + 2M = 217. Subtract 213.2 from both sides and divide by 2 to get the answer M = 1.9 hours. So the answer is C. Hope this helps. Feel free to message me with any other questions.