Question

Elijah builds model airplanes at a constant rate. He can build 5 model airplanes in 150 minutes, and 10 model airplanes in 300 minutes. How long will it take him to build 15 model airplanes?

a) 30 min
b) 300 min
c) 450 min
d) 600 min

Answer 1

Elijah can build one model airplane in 30 minutes. Thus, it will take him 450 minutes to build 15 model airplanes.

Step-by-step explanation:

To determine how long it will take Elijah to build 15 model airplanes, we need to establish the rate at which he builds airplanes. According to the information given, Elijah can build 5 model airplanes in 150 minutes. This means that the rate of building airplanes is 1 airplane every 30 minutes (150 minutes ÷ 5 airplanes).

Now, to find out how long it takes to build 15 model airplanes, we can multiply the number of airplanes by the time it takes to build each one:

• Time to build 1 airplane = 30 minutes
• Time to build 15 airplanes = 15 × 30 minutes

This results in:

Time to build 15 airplanes = 450 minutes

Therefore, the correct answer is c) 450 minutes.