Question

1. a small airplane flew 104 miles in 50 minutes. at this rate, how many miles can it fly in one hour? (50 minutes = \\(\frac{5}{6}\\) hour) (example 1)

Explanation:

Step1: Find the speed of the airplane

Speed is distance divided by time. The distance is 104 miles and the time is $\frac{5}{6}$ hour. So the speed $v$ is calculated as $v=\frac{104}{\frac{5}{6}}$.
Using the rule of dividing by a fraction (multiply by its reciprocal), we get $v = 104\times\frac{6}{5}=\frac{624}{5}=124.8$ miles per hour.

Step2: Determine the distance in one hour

Since the speed is 124.8 miles per hour, in one hour (which is the time unit for speed), the distance traveled is equal to the speed. So the distance flown in one hour is the speed we calculated.

Answer:

124.8 miles