SOLUTION: one plane leaves an airport at a speed of 180 km/hr. a jet leaves the airport two hours later at a speed of 900 km/hr. how far from the airport will the jet overtake the plane?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: one plane leaves an airport at a speed of 180 km/hr. a jet leaves the airport two hours later at a speed of 900 km/hr. how far from the airport will the jet overtake the plane?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 834943: one plane leaves an airport at a speed of 180 km/hr. a jet leaves the airport two hours later at a speed of 900 km/hr. how far from the airport will the jet overtake the plane?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
The question implies that the two planes are traveling the same route.

The jet, faster plane, flies for t hours. Meanwhile, the one plane has been traveling for t+2 hours.


_____________speed________time____________distance______|____Equations
slow plane______180__________t+2_____________d__________|__180%28t%2B2%29=d
Jet__________900___________t______________d__________|__900t=d

Pick either equation and solve for t. Substitute the expression for t into the other equation and solve it for d.