# ACT Question of the Week #1: Math

*Solve the problem and choose the correct answer.*

In one year, a certain radio station plays 800 hours of commercials. If each commercial is 30 seconds long, how many commercials does the radio station play in one year? (1 hour = 3,600 seconds)

**A)** 26

**B)** 135

**C)** 24,000

**D)** 28,800

**E)** 96,000

Click here for the answer and explanation.

### Explanation

Since 1 hour equals 3,600 seconds, 800 hours equal (800)(3,600) seconds. Therefore, the number of 30-second commercials that the radio station plays is .

The correct answer is Choice (E).

We can use reasoning to eliminate answer Choices (A) and (B) as too small. Since a single hour is much longer than 30 seconds, the number of 30-second commercials played in 800 hours must be significantly larger than 800.