SOLUTION: Kevin's plane flew in a direct line from its base at 480 kph and returned over the same route at a rate of 400 kph, requiring 15 minutes longer on the return trip. How far did it f

Question 520014: Kevin's plane flew in a direct line from its base at 480 kph and returned over the same route at a rate of 400 kph, requiring 15 minutes longer on the return trip. How far did it fly from its base?
Found 2 solutions by josmiceli, mananth:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = distance from base
Let = time of flight from base
given:
km/hr
km/hr
hrs
-------------------------
Flying away from base:
(1)
Flying back to base:
(2)
----------------------------
(2)
Substitute (1) into (2)
(2)
(2)
(2)
and, since
(1)
(1)
(1)
It flew 600 km from its base

Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
returning time - going time = 1/4 hour
let x be the distance
x/400 - x/480 = 1/4
(480x-400x)/400*480 =1/4
4*80x=400*480
320x=400*480
x=(400*480)/320
x= 600 km
m.ananth@hotmail.ca
RELATED QUESTIONS
A jet plane flew in a direct line from its base to a point at the rate of 400 miles an... (answered by jorel1380)
an airplane flew in a direct line from its base at the rate of 300 miles an hour and... (answered by josmiceli)
an airplane flew in a direct line from its base at the rate of 300 miles an hour and... (answered by josmiceli)
I need some help with these questions. - 14. Flight 725 left New York at 10:28 a.m.... (answered by MathLover1)
A submarine leaves the US base and travels 560 km due East at 54 kph and then 816... (answered by ikleyn,Alan3354)
``A submarine leaves the US base and travels 560 km due East at 54 kph and then 816... (answered by Alan3354,ikleyn)
A car travels 180 km from A to B at 60 kph and returns from B to A along the same route... (answered by stanbon)
Enrique cycled to his grandmother's house at 15 kph and returned home over the same route (answered by stanbon,checkley79)
a boy went out into the barangay on his bike at 5 kph. He rested for 2 hours and returned (answered by josmiceli)