Final answer:
Using the formula speed = distance/time, the airplane's speed was calculated to be 50.67 miles/hour. Multiplying this speed by 1/4 hour gives us 12.67 miles, which doesn't match any of the provided answer choices.
Step-by-step explanation:
An airplane travels 152 miles in 3 hours. To find out how many miles it will travel in 1/4 hour, we first calculate the airplane's speed. The speed is the distance traveled divided by the time taken. In this case, the airplane's speed is:
V = distance/time = 152 miles/3 hours = 50.67 miles/hour (rounded to two decimal places).
Now, to find out how many miles the airplane will travel in 1/4 hour, we multiply the speed by the time:
Distance = Speed × Time = 50.67 miles/hour × 0.25 hour = 12.67 miles (rounded to two decimal places).
Since the possible answers are in whole numbers, we need to look at the available multiple choice options and choose the one closest to our calculated value, which is 12.67 miles. However, none of the options given (19, 38, 76, 57 miles) correspond to this result.