Posted by **thommini** on Saturday, February 20, 2010 at 7:16am.

If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph? ( please help me with the working thanks )

- maths -
**drwls**, Saturday, February 20, 2010 at 8:07am
When you add a west-facing vector of length 200 t and a north-facing vector of length 150 t, the resultant displacement, which is the hypotenuse, will have a length of 250 t. This is becasue the sides of the right triangle are always in a 3:4:5 ratio.

(250t)^2 = (150t)^2+ (200t)^2

After t = 2 hours, they will be d = 500 miles apart, since

d^2 = sqrt[{300)^2 + (400)^2)]

## Answer this Question

## Related Questions

- math - 13. If two planes leave the same airport at 1:00 PM, how many miles apart...
- Algebra - If two planes leave the same airport at 1:00 PM, how many miles apart ...
- math - there are two planes. they both leave the airport at 1pm. one plane ...
- algebra - two buses leave at the same time. one travels west at 40 mph. the ...
- MATH - Two planes leave an airport at the same time, one flying east, the other ...
- Pre-Cal - Two airplanes take off from an airport at the same time. One travels ...
- math - two cars leave town at the same time. one travels west at 56 mph, and the...
- maths - Two planes take off from the same airport at the same time. One plane ...
- math - 2 trains leave the same train station at the same time, one train travels...
- physics - It says, A plane travels 400 mi/h relative to the ground. There is a ...

More Related Questions