GMAT Practice Question: Last year Shannon listened to a certain public radio station 10 hours per week and contributed...
Question
Last year Shannon listened to a certain public radio station 10 hours per week and contributed 35USD to the station. Of the following, which is closest to Shannon's contribution per minute of listening time last year?
- 0.001USD
- 0.010USD
- 0.025USD
- 0.058USD
- 0.067USD
Topics: word problems, conversions, rates, approximations, translations
Solution
Step 1
We convert Shannon’s weekly listening time from hours to minutes.
10 \times 60 = 600 \text{ minutes per week}
Step 2
We calculate Shannon’s total listening time for the year by multiplying the weekly minutes by 52.
600 \times 52 = 600 \times 50 + 600 \times 2 = 30000 + 1200 = 31200 \text{ minutes per year}
Step 3
We find Shannon’s contribution per minute by dividing her total contribution by her total listening minutes and simplifying.
\frac{35}{31200} = \frac{31}{31200} + \frac{4}{31200} \approx 0.001 + 0.0001 \approx 0.0011 \text{ USD per minute}
Step 4
We compare this value to the answer choices and select the closest.
\text{Answer A}
Answer
A
