SOLUTION: A hot air balloon spent several minutes ascending. It then stayed at a level altitude for two times as long as it had ascended. It took 6 minutes less to descend than it did to asc

Question 666421: A hot air balloon spent several minutes ascending. It then stayed at a level altitude for two times as long as it had ascended. It took 6 minutes less to descend than it did to ascend. The entire trip took one hour and 10 minutes. For how long was the balloon at a level altitude?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A hot air balloon spent several minutes ascending.
let t = time ascending
:
It then stayed at a level altitude for two times as long as it had ascended.
2t = time at level altitude
:
It took 6 minutes less to descend than it did to ascend.
(t-6) = time to descend
:
The entire trip took one hour and 10 minutes.
Change 1 hr 10 min to 70 min
:
ascend time + lev time + descend time = 70 min
t + 2t + (t-6) = 70
4t = 70 + 6
t = 76/4
t = 19 min to ascend
:
For how long was the balloon at a level altitude?
2(19) = 38 min at level altitude
:

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