A band rehearses 3 songs in 2 hours. To prepare for a show with 15 songs, how many hours are needed if they speed up by 25%?
Correct answer: B. 8
- A. 7
- B. 8
- C. 9
- D. 10
Explanation
The band rehearses 3 songs in 2 hours, so each song originally takes 2/3 hours. With a 25% speed increase, the new time per song is (2/3) * 0.75 = 1/2 hour. For 15 songs, the total time required is 15 * 1/2 = 7.5 hours. Since rehearsal schedules typically round to whole hours, 8 hours is appropriate. Option A is incorrect as it assumes too much speed increase, Option C overestimates the time, and Option D ignores the speed increase.
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