<PRE><B>Question 168244</B>
 time is equal in this problem

d=r*t
:
t=d/r   call the rate for hummingbird r and rate of eagle is r+35
:
time t for hummming bird equals 5/r
time t for eagle         equals 8.5/(r+35)
:
and since time is equal these are equal to each other:
:
5/r=8.5/(r+35)
:
cross multiply
:
8.5r=5r+175
:
3.5r=175
:
{{{highlight(r=50)}}} rate of the hummingbird
{{{highlight(r+35=50+35=85)}}} speed of the eagle

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