Question

A hot air balloon festival, Mohammed’s balloon is at 40 feet and rises at a rate of 10 ft./min. dana’s balloon is at a height of 165 feet descends at a rate of 15 ft./min. In how many minutes will they be at the same height. What will that height be?

Answer 1

Answer:

• 5 minutes
• 90 ft

Step-by-step explanation:

After some number of minutes m, Mohammed's altitude will be ...

  40 +10m

and Dana's altitude will be ...

  165 -15m

The altitudes will be the same when ...

  40 +10m = 165 -15m

  25m = 125 . . . . . . . . . . . add 15m-40

  m = 5 . . . . . . . . . . . . . . . divide by 25

The height of the two balloons after 5 minutes will be 40+10·5 = 90 ft.