SOLUTION: The class ran m feet at z feet per minute and arrived at lunch 3 minutes late. How fast should they have run to have arrived on time? ---Any help is greatly appreciated :)

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: The class ran m feet at z feet per minute and arrived at lunch 3 minutes late. How fast should they have run to have arrived on time? ---Any help is greatly appreciated :)      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1015053: The class ran m feet at z feet per minute and arrived at lunch 3 minutes late. How fast should they have run to have arrived on time? ---Any help is greatly appreciated :)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The class ran m feet at z feet per minute and arrived at lunch 3 minutes late. How fast should they have run to have arrived on time?
:
let s = speed required to arrive on time
write a time equation; time = dist/speed
:
slow time - normal time = 3 min
m%2Fz - m%2Fs = 3
multiply equation by sz, cancel the denominators
ms - mz = 3sz
solve for s
ms - 3sz = mz
Factor out s
s(m - 3z) = mz
s = %28mz%29%2F%28%28m-3z%29%29; the running speed to arrive on time