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?
See following post.
To determine when the two airplanes will meet, we need to calculate the time it takes for them to cover a combined distance of 900 miles.
Since the airplanes are flying towards each other, the distances covered by each airplane add up to the total distance between them. Let's call the time it takes for them to meet "t" hours.
The first airplane is covering 300 miles per hour, so in "t" hours, it will have traveled a distance of 300t miles.
The second airplane is covering 250 miles per hour, so in "t" hours, it will have traveled a distance of 250t miles.
Adding up the distances covered by both airplanes, we get:
300t + 250t = 900
Simplifying the equation, we have:
550t = 900
To isolate "t", we divide both sides of the equation by 550:
t = 900 / 550
Calculating this, we find:
t ≈ 1.64 hours
Therefore, the two airplanes will meet approximately 1.64 hours after starting at the same time.