Carlos and Maria drove a total of 233 miles in 4.4 hours. Carlos drove the first part of the trip and averaged 55 miles per hour. Maria drove the remainder of the trip and averaged 50 miles per hour. For approximately how many hours did Maria drive? Round your answer to the nearest tenth if necessary.

A) 1.8 hours

B) 3.1 hours

C) 2.7 hours

D) 2.6 hours

So basically

D=RT

distance=rate times time

D=233

carlos speed=55

maria speed=50

total time=4.4 hours

so therefor we have to represent

carlos time

maria time

carlos distance

maria dstance

let's say that

remember that whatever carlost drove is 233 minus maria (time and distance)

and since we are solving for maria time and distnace, solve in terms of them

maria time=t

maria distance=d

carlos time=4.4-t

carlos distance=233-d

remember total D=RT

find their seperate equations

carlos

233-d=55 (4.4-t)

maria

d=50 (t)

use them to solve

233-d=55 (4.4-t)

subsitute 50 (t) for d

233-50t=55 (4.4-t)

add 50t to both sides

233=55 (4.4-t) + 50t

distribute using distributiver protperty (a (b+c) = ab+ac)

55 (4.4-t) = 242-55t

233=242-55t+50t

add like terms

233=242-5t

add 5t to both sides

233+5t=242

subtract 233 from both sides

5t=9

divdie both sides by 5

t=1.8

maria drove 1.8 hours

the answer is A