Jason and Donny painted a house and received $1,200. To complete the painting job Jason painted 4 hours 25 minutes and Donny spent 2 hours and 15 minutes. If they split the $1,200 in proportion to the amount of time each spent painting, how much did Donny receive?
Correct answer: A. $405.00
- A. $405.00
- B. $443.00
- C. $472.00
- D. $492.00
Explanation
First, convert the time each person spent painting into hours:Jason: 4 hours and 25 minutes = 4 + 25/60 = 4.4167 hoursDonny: 2 hours and 15 minutes = 2 + 15/60 = 2.25 hoursThe total time spent painting is 4.4167 + 2.25 = 6.6667 hours.Next, calculate the proportion of time each person contributed:Jason's proportion = 4.4167 / 6.6667 = 0.6625Donny's proportion = 2.25 / 6.6667 = 0.3375Donny's share of the payment is 0.3375 * $1,200 = $405.00, hence the correct answer is (A) $405.00.Other options represent incorrect calculations of the proportion or misinterpretations of time conversion.
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