Question 441064: Hello, im stuck on this question and would like some help thanks. :)
The heights, in metres, or two hot-air balloons are measured at the same time. these formulae give their heights t seconds after that time.
- Balloon 1: 500-0.5t
- Balloon 2: 50+0.4t
a)Write down an equation and solve it to work out how many seconds it will take for the two balloons to be at the same height.
b) What will the height be at the time in part a?
This word problem confuses me so it would be great if you could help.
Thanks
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The heights, in metres, or two hot-air balloons are measured at the same time. these formulae give their heights t seconds after that time.
- Balloon 1: 500-0.5t
- Balloon 2: 50+0.4t
a)Write down an equation and solve it to work out how many seconds it will take for the two balloons to be at the same height.
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Solve:
500 - 0.5t = 50 + 0.4t
0.9t = 450
t = 500 seconds
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b) What will the height be at the time in part a?
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h(500) = 50 + 0.4(500)
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= 40 + 200
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= 240 ft.
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Cheers,
Stan H.
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