If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM?

Both leave the airport at the same time, so in 2 hrs the 1 flying north will have traveled 300 miles and the one traveling west would have traveled 400 miles. Now think of a right triangle. if the plane travelling north was the one that travelled 300 miles and the plane traveling west is the one that has traveled 400 miles, then the distance between them is the distance of the hypotenuse of a right triangle. Remember the 3,4,5 right triangle your teacher talked about? So 1 plane is at 300 miles, the other is at 400 miles which make up the sides of a right triangle so the hypotenuse is what? 500 miles!

so here is the math in a nutshell:

in 2 hrs n = north plane is 2 times 150mph = 300

w = west plane is 2 times 200mph = 400

they both make up the sides of a right triangle so the hypotenuse is h =square root of (n^2 + w^2)

so h = square root of (150^2 + 400^2) = 500

Place a dot on a piece of paper. That's the airport.

Now draw a line North. After 2 hours, at `150 mph, the line should be 300 miles

Go back to the dot. Now draw a line due west. After 2 hours this line should be 400 miles

Now join the ends of the two lines. You have a right triangle and the hypotenuse represents the

miles apart.

Use the Pythagorean Theorem

H^2 = 300^2 + 400^2

H^2 = 90,000 + 160,000

H^2 = 250,000

H = 500

First write out the counsel given. * the two planes circulate faraway from the airport at a million:00 pm * One plane is vacationing a hundred and fifty miles in line with hour * the different plane is vacationing 2 hundred miles in line with hour. Now re-write what they're asking you: what number miles aside will they be at 3:00pm. so which you be attentive to you started out at a million:00p.m. and your ending factor would be at 3:00pm. in case you subtract 3-a million that can be a 2 hour distinction. so now what you will do with that 2, you may multiply it by the a hundred and fifty and a pair of hundred (because of the fact each a style of numbers is indicating the miles, and you will could multiply by 2 to show what number hours[its form of like an equation]) now you will get 3 hundred once you multiply a hundred and fifty situations 2. and you gets 4 hundred once you multiply 2 hundred situations 2. and the final step because you're finding for the gap they're aside, you may could subtract 3 hundred from 4 hundred and you gets a hundred. your answer selection B. desire THAT HELPED:]