Question

1. an airplane leaves atlanta at 2 pm and flies north at 250 miles per hour. a second airplane leaves atlanta 30 minutes later and flies north at 280 miles per hour. at what time will the second airplane overtake the first?

6:00 pm
6:20 pm
6:40 pm
7:00 pm

Explanation:

Convert the time delay to hours

Using the Unit Conversion knowledge point

$$ 30\text{ minutes} = \frac{30}{60}\text{ hours} = 0.5\text{ hours} $$

Set up distance equations

Using the Linear Modeling knowledge point

$$
LATEXBLOCK0
$$

Solve for the overtaking time

Equate the distances to find when the second plane overtakes the first:

$$
LATEXBLOCK1
$$

Convert travel time to clock time

Convert the elapsed time from 2:00 PM to find the final clock time:

$$
LATEXBLOCK2
$$

Answer:

• (A) 6:00 PM
• (B) 6:20 PM
• (C) 6:40 PM (Correct answer)
• (D) 7:00 PM