SOLUTION: Hi guys, i really need your help. Could you please help me solve this problem: An elevator went from the bottom to the top of a tower at an average speed of 4 m/s, remained at the

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Hi guys, i really need your help. Could you please help me solve this problem: An elevator went from the bottom to the top of a tower at an average speed of 4 m/s, remained at the      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 25824: Hi guys, i really need your help. Could you please help me solve this problem:
An elevator went from the bottom to the top of a tower at an average speed of 4 m/s, remained at the top for 90 s, and then returned to the bottom at 5 m/s. If the total elapsed time was 4 1/2 minutes, how high is the tower?
Thank you!

Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
4 1/2 ----> 9/2 ---> 4.5
4.5 --> 270s
270s-90s=180s
Let the distance be x
So x%2F4%2Bx%2F5=180
The common multiple is 20
20%28x%2F4%29%2B20%28x%2F5%29=20%28180%2F1%29
5x+4x=3600
9x=3600
x=400

Hence, the tower is 400m high.
Paul.