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10 July, 23:43

12. At his regular hourly rate, Don had estimated the labor cost of a repair job as $336 and he was paid that amount. However, the job took 4 hours longer than he had estimated and consequentially he earned $2 less than his hourly rate. What was the price Don had estimated to work? a. $12 b. $14 c. $16 d. $24 e. $28

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  1. 11 July, 00:37
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    The correct question is:

    At his regular hourly rate, Don had estimated the labour cost of a repair job as $336 and he was paid that amount. However, the job took 4 hours longer than he had estimated and, consequently, he earned $2 per hour less than his regular hourly rate. What was the time Don had estimated for the job, in hours?

    (A) 28

    (B) 24

    (C) 16

    (D) 14

    (E) 12

    Answer:

    24 hours

    Explanation:

    Amount paid (S) = Hourly rate (h) * Time taken (t)

    So ideally 336 = ht

    In reality

    Don spent 4 hours extra = t+4

    And earned $2 less per hour = h-2

    So 336 = (h-2) * (t+4)

    Combining the two equations

    336 = ht = (h-2) * (t+4)

    Open the brackets

    ht = ht + 4h - 2t - 8

    Rearranging

    ht - ht + 2t = 4h-8

    t = (4h-8) / 2 = 2h-4

    In formula t = 2h - 4, substitute the given options of t to get h.

    The pair that will give ht = 336 is the correct one.

    Using 24 hours

    24 = 2h-4

    24+4 = 2h

    28/2 = h

    14 = h

    So for t = 24, h=14

    Check in formula ht = 336

    24*14 = 336

    So 24hours is the correct answer.
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