SOLUTION: Come upon a snake while on a walk and it is flees in opposite direction. You run at 2 feet per second faster than the snake. After 60 seconds, you and snake are 2500 feet away from

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Question 1094891: Come upon a snake while on a walk and it is flees in opposite direction. You run at 2 feet per second faster than the snake. After 60 seconds, you and snake are 2500 feet away from each other. What is your speed and what is snake's speed?
Found 2 solutions by ankor@dixie-net.com, josmiceli:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Come upon a snake while on a walk and it is flees in opposite direction.
You run at 2 feet per second faster than the snake.
After 60 seconds, you and snake are 2500 feet away from each other.
What is your speed and what is snake's speed?
:
let s = the speed of the snake in ft/sec
then
(s+2) = your speed
:
Write a distance equation: dist = time * speed
60s + 60(s+2) = 2500
60s + 60s + 120 = 2500
120s = 2500 - 120
120s = 2380
s = 2380/120
s = 19.83 ft/sec is the snake speed
then obviously
21.83 ft/sec is your speed
:
:
:
Check this; find the distance each of you traveled
60 * 19.83 = 1190 ft
60 * 21.83 = 1310
------------------
total dist: 2500 ft

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = the speed of the snake in ft/sec
+s+%2B+2+ = your speed in ft/sec
------------------------------------
Since you are going in opposite directions, you
can think of this as the snake standing still
and you running at the sum of your speeds
+2500+=+%28+s+%2B+s+%2B+2+%29%2A60+
+2500+=+120s+%2B+120+
+120s+=+2380+
+s+=+19.8333+ ft
also:
+.8333%2A12+=+10+ in
----------------------
+s+%2B+2+=+21.8333+
----------------------
The snake's speed is 19 ft 10 in per sec
Your speed is 21 ft 10 in per sec
---------------------------------------
check:
(1) +d%5B1%5D+=+s%2At+
(1) +d%5B1%5D+=+19.8333%2A60+
(1) +d%5B1%5D+=+1190+
and
(2) +d%5B2%5D+=+%28+s+%2B+2+%29%2At+
(2) +d%5B2%5D+=+21.8333%2A60+
(2) +d%5B2%5D+=+1310+
and
+d%5B1%5D+%2B+d%5B2%5D+=+1190+%2B+1310+
+d%5B1%5D+%2B+d%5B2%5D+=+2500+ ft
as it should
OK