M04-01

Official Solution:


Bill drove the same route from home to school on Monday and Tuesday. On Tuesday, it took him 1.5 times as long to drive from home to school as it took him on Monday. What was the duration of Bill's journey from home to school on Monday?

Let's assume the time taken by Bill on Monday to complete his journey from home to school is \(t\) minutes. Therefore, the time taken by Bill on Tuesday to complete the same journey will be \(1.5t\) minutes.

(1) On Tuesday, it took Bill 15 minutes longer to drive from home to school than it did on Monday.

Using this information, we can write an equation \(1.5t = t + 15\) and solve for \(t\), which gives us \(t = 30\) minutes. Sufficient.

(2) The distance between Bill's home and school is 15 miles.

(2) provides information about the distance between Bill's home and school. However, it is not possible to create an equation involving \(t\) using this information, so Statement (2) alone is not sufficient to answer the question.


Answer: A