Answered

Two construction elevators are starting at different heights on a building. The first is 130 feet high and is rising at a rate of 7 feet per minute. The second is 226 feet high and is descending at a rate of 5 feet per minute. How long will it take for them to be at the same height?

Answer :

JeanaShupp

Answer: It will take 8 minutes to be on same height.

Step-by-step explanation:

Let x= Time taken to be at same height.

The first is 130 feet high and is rising at a rate of 7 feet per minute.

Height = 130+7x

The second is 226 feet high and is descending at a rate of 5 feet per minute.

Height = 226-5x

According o the question,

[tex]130+7x=226-5x\\\\\Rightarrow\ 7x+5x=226-130\\\\\Rightarrow\ 12x = 96\\\\\Rightarrow\ x=\dfrac{96}{12}\\\\\Rightarrow\ x=8[/tex]

Hence, it will take 8 minutes to be on same height.

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