SOLUTION: A round trip in a helicopter lasted 4 hours and 30 minutes. If the helicopter flew away from the airport at 100 mph and returned at the rate of 50 mph, what was its greatest dista

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A round trip in a helicopter lasted 4 hours and 30 minutes. If the helicopter flew away from the airport at 100 mph and returned at the rate of 50 mph, what was its greatest dista      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 824985: A round trip in a helicopter lasted 4 hours and 30 minutes. If the helicopter flew away from the airport at 100 mph and returned at the rate
of 50 mph, what was its greatest distance from the airport?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A round trip in a helicopter lasted 4 hours and 30 minutes.
If the helicopter flew away from the airport at 100 mph and returned at the rate
of 50 mph, what was its greatest distance from the airport?
:
Let d = the one-way distance from the airport\
Change 4 hr 30 min to 4.5 hrs
Write a time equation; time = dist/speed
d%2F100 + d%2F50 = 4.5
mult eq by 100, cancel the denominators
d + 2d = 450
d = 450/3
d = 150 mi
:
Check this, find the time each way
150/100 = 1.5
150/50 = 3.0
----------------
total time: 4.5 hrs