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20 November, 02:11

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

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Answers (1)
  1. 20 November, 06:09
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    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
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