Question
Two planes leave from points 1740 miles apart at the same time and travel toward each other( at slightly different altitudes, of course) if the rates are 250 mph and 330 mph how soon will they meet
Answers
GPT 3.5
To find out how soon the two planes will meet, we need to calculate the total time it takes for them to cover the distance of 1740 miles.
Let's call the time it takes for the first plane to meet the second plane as "t" hours.
The speed of the first plane is 250 mph, so it will travel a distance of 250t miles in "t" hours.
Similarly, the speed of the second plane is 330 mph, so it will travel a distance of 330t miles in "t" hours.
Since the planes are traveling towards each other, the sum of the distances covered by both planes will be equal to the total distance between them.
250t + 330t = 1740
Simplifying the equation:
580t = 1740
Dividing both sides by 580:
t = 1740/580
t = 3 hours
Therefore, the two planes will meet after 3 hours.
Let's call the time it takes for the first plane to meet the second plane as "t" hours.
The speed of the first plane is 250 mph, so it will travel a distance of 250t miles in "t" hours.
Similarly, the speed of the second plane is 330 mph, so it will travel a distance of 330t miles in "t" hours.
Since the planes are traveling towards each other, the sum of the distances covered by both planes will be equal to the total distance between them.
250t + 330t = 1740
Simplifying the equation:
580t = 1740
Dividing both sides by 580:
t = 1740/580
t = 3 hours
Therefore, the two planes will meet after 3 hours.