SOLUTION: New York is 3000 miles from Los Angeles. Sol leaves New York aboard a plane heading toward Los Angeles at the same time that Robert leaves Los Angeles aboard a plane heading toward

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: New York is 3000 miles from Los Angeles. Sol leaves New York aboard a plane heading toward Los Angeles at the same time that Robert leaves Los Angeles aboard a plane heading toward      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 768276: New York is 3000 miles from Los Angeles. Sol leaves New York aboard a plane heading toward Los Angeles at the same time that Robert leaves Los Angeles aboard a plane heading toward New York. If Sol is moving at 200 miles per hour and Robert is moving at 400 miles per hour, how soon will one plane pass the other?
A) 2 hours
B) 22 1/2 hours
C) 5 hours
D) 4 hours
E) 12 hours

Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
Generalizing in order to solve symbolically,
Let d = 3000 miles between locations
let x = time in hours until subjects meet
p = speed of Sol, 200 mph
r = speed of Robert, 400 mph
notice p
During unknown time x, Sol and Robert move their distances, and the sum of their distances is d.
highlight%28r%2Ax%2Bp%2Ax=d%29
%28r%2Bp%29x=d
x=d%2F%28r%2Bp%29_____The Answer in Symbolic Form.

Just substitute the given numeric values to find x.