If Benny read for 3 hours and t minutes at an average rate of 36 pages per hour, which of the following represents the number of pages that he read?We have to deal with 3 hours and with t minutes.
Scanning the answer choices, we see that, in most of them, we have first an integer number of pages and then an expression involving t. This information confirms that, to find the correct answer, we will likely have to calculate two parts, an integer and an expression involving t.
To calculate those two parts, we can first multiply 36 pages per hour times 3 hours.
36 × 3 = 108
Then, for the expression involving t, we have to keep in mind that t is a number of minutes. So, since Benny's 36-page rate is a per hour, i.e., per 60 minutes, rate, the number of pages read in t minutes will be \(36 × \frac{t}{60} = \frac{6t}{10} = \frac{3t}{5}\).
So, the correct answer is \(108 + \frac{3t}{5}\).
(A) \(36t\)
(B) \(36 + t\)
(C) \(36 + 5t\)
(D) \(108 + \frac{3t}{5}\)
(E) \(108 + \frac{t}{5}\)
Correct answer: D
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