SOLUTION: An object is moving at a speed of (3+2^(1/2)) ft/s. How long will it take the object to travel 20 ft?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: An object is moving at a speed of (3+2^(1/2)) ft/s. How long will it take the object to travel 20 ft?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 603102: An object is moving at a speed of (3+2^(1/2)) ft/s. How long will it take the object to travel 20 ft?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
An object is moving at a speed of (3+2^(1/2)) ft/s. How long will it take the object to travel 20 ft?
------------------------
time = distance/rate
----
time = 20 ft/(3+sqrt(3))(ft/sec)
----
= [20(3-sqrt(3))]/[(3+sqrt(3))(3-sqrt(3)]
-----
= [20(3-sqrt(3)]/[9-3]
-----
= (10/3)(3-sqrt(3))
---
= 10 - (10/3)sqrt(3)
========================
Cheers,
Stan H.
========================