two airplane fly toward each other from points 900 miles apart, at the rate, per hour, of 300 miles and 250 miles. when will they meet if they start at the same instant?
900/(300+250) hours later
To find out when the two airplanes will meet, we can use the concept of relative speed. The relative speed of the two airplanes is the sum of their individual speeds.
Let's say the first airplane is traveling at a speed of 300 miles per hour, and the second airplane is traveling at a speed of 250 miles per hour. Therefore, their relative speed is 300 + 250 = 550 miles per hour.
Since the airplanes are flying towards each other, we can think of their motion as the total distance between them decreasing over time.
The total distance between the two airplanes is given as 900 miles. To find the time it takes for them to meet, we can use the formula:
Time = Distance / Speed
Substituting in the values, we get:
Time = 900 miles / 550 miles per hour
Simplifying this equation, we find:
Time = 1.6363636... hours
To convert this to minutes, we can multiply by 60:
Time = 1.6363636... hours x 60 minutes per hour
Calculating this, we get:
Time = 98.18181818... minutes
Therefore, the two airplanes will meet approximately 1 hour and 38 minutes (or 98 minutes) after they start flying towards each other.