two planes take off from an airport at the same time and head in opposite directions at 260mph and 275mph respectively. in how many hours will they be 1605 miles apart?
distance covered by first plane --- x miles
distance covered by second plane --- 1605-x miles
time taken by first plane --- x/260 hours
time taken by second plane -- (1605-x)/275
aren't those two times equal?
set the above times equal to each other and solve
To find out in how many hours the two planes will be 1605 miles apart, we can use the formula:
Distance = Speed * Time.
Let's denote the time taken by the first plane as 't' hours.
For the first plane, the distance it travels in 't' hours would be 260 * t miles.
For the second plane, the distance it travels in 't' hours would be 275 * t miles.
Since the planes are heading in opposite directions (away from each other), we can add their respective distances together to get the total distance between them:
260 * t + 275 * t = 1605.
Combining like terms:
(260 + 275) * t = 1605.
535 * t = 1605.
Now, let's solve for 't':
t = 1605 / 535.
t ≈ 3.0018.
Therefore, the two planes will be approximately 1605 miles apart in about 3.0018 hours, or approximately 3 hours and 36 seconds.