Question

An airplane flies 585 miles in 1.5 hours.

A. How many miles does the airplane fly in 4.5 hours?

B. How many hours does it take the airplane to fly 195 miles?

Answer 1

The airplane flies 1755 miles in 4.5 hours, using the speed of 390 miles/hour calculated from the given distance and time. It takes the airplane 0.5 hours, or 30 minutes, to fly 195 miles at the same speed.

Step-by-step explanation:

Problem Solving: Distance, Speed, and Time

To solve the question about how far an airplane flies in a given time and how long it takes to fly a certain distance, we need to use the basic formula for distance:
Distance = Speed × Time. By rearranging the formula, we can also find time or speed if the other two values are known.

Part A: Distance in 4.5 hours

Given that the airplane flies 585 miles in 1.5 hours, to find out how many miles it flies in 4.5 hours, we multiply the speed by the new time:

• Speed = 585 miles / 1.5 hours = 390 miles/hour
• Distance in 4.5 hours = 390 miles/hour × 4.5 hours = 1755 miles

Part B: Time to fly 195 miles

Using the speed we calculated, we can find the time it takes to fly 195 miles:

• Time = Distance / Speed
• Time = 195 miles / 390 miles/hour = 0.5 hours or 30 minutes