Question 598021
a helicopter makes a round trip flight that lasts 4.5 hrs.
 if the average rate out was 80 miles per hour and the average rate in was 100 miles per hour.
 what was the helicopters greatest distance from the airport?
:
Let d = the one-way trip
:
Write a time equation: time = dist/speed
:
time out + time back = 4.5 hrs
{{{d/80}}} + {{{d/100}}} = 4.5
Multiply by 400 to clear the denominators
400*{{{d/80}}} + 400*{{{d/100}}} = 400(4.5)
Cancel the denominators
5d + 4d = 1800
d = 1800/9
d = 200 miles max distance