SOLUTION: the same time T required to drive a certain distance varies inversely with the speed R. If it takes 2 hours to drive the distance at 40 miles per hour how long will it take to dri

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: the same time T required to drive a certain distance varies inversely with the speed R. If it takes 2 hours to drive the distance at 40 miles per hour how long will it take to dri      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 945446: the same time T required to drive a certain distance varies inversely with the speed R. If it takes 2 hours to drive the distance at 40 miles per hour how long will it take to drive the same distance at 45 miles per hour?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
the same time T required to drive a certain distance varies inversely with the speed R.
If it takes 2 hours to drive the distance at 40 miles per hour how long will it take to drive the same distance at 45 miles per hour?
:
An inverse relationship ratio equation, find the time (t) to drive the same dist at 45 mph
t%2F2 40%2F45
cross multiply
45t = 2* 40
45t = 80
t = 80/45
t = 1.778 hrs which is: 1 + .778(60) = 1 hr 47 min
:
:
Confirm this by finding the dist at each speed, should be the same
2 * 40 = 80 mi
1.778 * 45 = 80 mi