SOLUTION: If two planes leave the same airport at 1:00, home many miles apart will they be at 3:00 if one travels directly north at 150 MPH and the other travels directly west at 200 MPH

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: If two planes leave the same airport at 1:00, home many miles apart will they be at 3:00 if one travels directly north at 150 MPH and the other travels directly west at 200 MPH      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 125330: If two planes leave the same airport at 1:00, home many miles apart will they be at 3:00 if one travels directly north at 150 MPH and the other travels directly west at 200 MPH
Found 2 solutions by josmiceli, cmerrill666:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
For each, d+=+r%2At
For each t+=+2hrs
For the 1st plane, r+=+150 mi/hr
For the 2nd plane, r+=+200 mi/hr
d%5B1%5D+=+150%2A2
d%5B1%5D+=+300 mi
d%5B2%5D+=+200%2A2
d%5B2%5D+=+400 mi
They traveled apart at right angles to eachother, so
their distance apart is d+=+sqrt%28%28300%29%5E2+%2B+%28400%29%5E2%29
d+=+sqrt%289%2A10%5E4+%2B+16%2A10%5E4%29
d+=+sqrt%2810%5E4%289+%2B+16%29%29
d+=+10%5E2%2Asqrt%2825%29
d+=+500mi answer

Answer by cmerrill666(3) About Me  (Show Source):