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.

Question

Mathematics

Jaden

7 March, 01:05

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.

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Answers (1)

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Compton · Answer 1

T M - time that Maria drove;

49 * t C + 52 * t M = 191

t C + T M = 3.8 hours

t C = 3.8 - t M

49 * (3.8 - t M) + 52 * t M = 191

186.2 - 49 t M + 52 t M = 191

3 t M = 191 - 186.2

3 t M = 4.8

t M = 4.8 : 3

t M = 1.6 hours

Answer:

Maria drove 1.6 hours.