SOLUTION: A sprinter runs the 100-meter dash, with the wind behind him, in 9.96 seconds. He then runs the same distance in the other direction and 11.79 seconds. About how fast is the wind b

Question 936269: A sprinter runs the 100-meter dash, with the wind behind him, in 9.96 seconds. He then runs the same distance in the other direction and 11.79 seconds. About how fast is the wind blowing? About how fast does the sprinter run when there is no wind?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A sprinter runs the 100-meter dash, with the wind behind him, in 9.96 seconds. He then runs the same distance in the other direction and 11.79 seconds. About how fast is the wind blowing? About how fast does the sprinter run when there is no wind?
----
With-wind DATA:
time = 9.96 sec ; distance = 100 meters ; rate = d/t = 100/9.96 m/sec
-------------
against-wind DATA:
time = 11.79 sec ; distance = 100 meters ; rate = d/t = 100/11.79 m/sec
------
Equations:
r + w = 100/9.96
r - w = 100/11.79
--------------------
Add the and solve for "r":
2r = 10.04 + 8.48
r = 18.52/2 = 9.26 meters/sec (runner's speed when there is no wind)
-----------------
Subtract the two equations to get:
2w = 10.04-8.48
w = 0.78 meters/sec (speed of the wind)
-------------
Cheers,
Stan H.
--------------
RELATED QUESTIONS
A sprinter runs the 100-meter dash, with the wind behind him, in 9.96 seconds. He then... (answered by ankor@dixie-net.com)

A sprinter runs the 100-yd dash in 9.3 secs. At the same rate, a. how long would it... (answered by ankor@dixie-net.com)

At a track meet, a runner runs the 100 meter dash in 15 seconds. What was the runner's... (answered by checkley77)

At a track meet, a runner runs the 100 meter dash in 15 seconds. What was the runner�s... (answered by Alan3354)

Sprinter A runs 100 meter in 15seconds, while sprinter B starts 1.5 second later and runs (answered by TimothyLamb)

Sprinter A runs 100 meters in 15 seconds, while sprinter B starts 1.5 seconds later and... (answered by ankor@dixie-net.com)

Track: Sprinter A runs 100 meters in 15 seconds, while sprinter B starts 1.5 seconds... (answered by ankor@dixie-net.com)

Sprinter A runs 100 meters in 15 seconds, while sprinter B starts 1.5 seconds later and... (answered by TimothyLamb)

A child is running on a moving sidewalk in an airport. When he runs against the... (answered by ikleyn)