Multiple choice

Two design consultants, P and Q, started working from 8 AM for a client. The client budgeted a total of USD 3000 for the consultants. P stopped working when the hour hand moved by 210 degrees on the clock. Q stopped working when the hour hand moved by 240 degrees. P took two tea breaks of 15 minutes each during her shift, but took no lunch break. Q took only one lunch break for 20 minutes, but no tea breaks. The market rate for consultants is USD 200 per hour and breaks are not paid. After paying the consultants, the client shall have USD _____ remaining in the budget.

  1. 166.67

  2. 300.00

  3. 433.33

  4. 000.00
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A Correct answer
Explanation

Hour hand moves 30 degrees per hour. P worked 210/30 = 7 hours. P had 30 mins (0.5 hrs) of breaks, so paid for 6.5 hours. P pay = 6.5 * 200 = 1300. Q worked 240/30 = 8 hours. Q had 20 mins (1/3 hr) break, so paid for 7.666 hours. Q pay = 7.666 * 200 = 1533.33. Total pay = 2833.33. Remaining = 3000 - 2833.33 = 166.67.

AI explanation

Using the hour hand degree conversion where 30 degrees equals 1 hour, P working 210 degrees represents a 7-hour shift and Q working 240 degrees represents an 8-hour shift. Subtracting the unpaid breaks, P is billed for 6.5 hours (7 hours minus two 15-minute breaks) and Q is billed for 7 hours 40 minutes (8 hours minus a 20-minute break), totaling 14.1667 billable hours. Multiplying the 14.1667 hours by the \$200 hourly rate results in a combined cost of \$2833.33, leaving \$166.67 remaining from the \$3000 budget.

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