SOLUTION: At an altitude of 12,250 feet,a hot air balloon springs a leak and begins to be descending at a rate of 450 ft. Per minute. The last opportunity for the crew to safely jump out wi

Question 1008376: At an altitude of 12,250 feet,a hot air balloon springs a leak and begins to be descending at a rate of 450 ft. Per minute. The last opportunity for the crew to safely jump out with a parachute is 1900 feet above the ground. How long from the time they Sprung the leak will they have before they are required to jump, use an inequality and solve.

Thank You!
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!

At an altitude of 12,250 feet,
descending at a rate of 450 ft. Per minute.
Let the time they have to jump be x minutes
let the height above ground be y
The last opportunity for the crew to safely jump out with a parachute is 1900
The height after x minutes is given by
so y = 12250 - 450x
but they have to jump above 1900 feet
12250 - 250x >y
12250 -450x > 1900
12250-1900 > 450x
350>450x
350/450 >x
x < 7/9 minutes

RELATED QUESTIONS
a hot air balloon begins to descend towards the ground from a height of 2250 feet. if it... (answered by josmiceli)

A hot air balloon descends at a rate of 320 feet per minute for 3 minutes. Use integers... (answered by lynnlo)

A hot air balloon is 20 feet above the ground and is rising at a rate of 15 feet per... (answered by stanbon)

Suppose a hot air balloon is 250 feet in the air. The balloon drops at 25 feet per... (answered by edjones)

A hot air balloon 2,100 ft above the ground can descend at a rate of 1.5 ft/s. The... (answered by TimothyLamb)

A plane is cruising at an altitude of 24,000 ft. The plane begins to descend at a rate... (answered by mananth)

I never seem to be able to set up equations from story problems. I think I have an idea... (answered by ankor@dixie-net.com)

One hot air balloon is 15 meters above the ground, and is rising at the rate of 20 m per... (answered by josgarithmetic)

A hot-air balloon, headed due east at an average speed of 15 miles per hour and at a... (answered by MathLover1,ikleyn,Alan3354)