SOLUTION: On a 40-mile car trip to Middletown, NY, you drive the first twenty miles at 30 miles per hour. How fast will you have to go the last twenty miles in order to arrive exactly one

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Question 443368: On a 40-mile car trip to Middletown, NY, you drive the first twenty miles at 30
miles per hour. How fast will you have to go the last twenty miles in order to
arrive exactly one hour after you left?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
On a 40-mile car trip to Middletown, NY, you drive the first twenty miles at 30 miles per hour.
How fast will you have to go the last twenty miles in order to arrive exactly one hour after you left?
:
Let s = speed required to make the trip in one hour
;
Write a time equation. Time = dist/speed
:
1st 20 mi time + 2nd 20 mi time = 1 hour
20%2F30 + 20%2Fs = 1
reduce fraction
2%2F3 + 20%2Fs = 1
multiply by 3s
2s + 3(20) = 3s
60 = 3s - 2s
s = 60 mph to arrive in 1 hr
:
:
Check the time
20/30 + 20/60 = 1